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Finding the Third Proportional to 601,506,820.13 and 957,115,581.75

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Solution

The third proportional to 601,506,820.13 and 957,115,581.75 is: 1,522,959,019.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,506,820.13 : 957,115,581.75 = 957,115,581.75 : x
  2. Step 2: Convert to fraction form
    601,506,820.13/957,115,581.75 = 957,115,581.75/x
  3. Step 3: Cross multiply
    601,506,820.13x = 957,115,581.75 × 957,115,581.75
  4. Step 4: Simplify right side
    601,506,820.13x = 916,070,236,828,640,896
  5. Step 5: Solve for x
    x = 916,070,236,828,640,896/601,506,820.13
  6. Step 6: Final answer
    x = 1,522,959,019.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.