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Finding the Third Proportional to 473,009.63 and 1,034,046

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Solution

The third proportional to 473,009.63 and 1,034,046 is: 2,260,527.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,009.63 : 1,034,046 = 1,034,046 : x
  2. Step 2: Convert to fraction form
    473,009.63/1,034,046 = 1,034,046/x
  3. Step 3: Cross multiply
    473,009.63x = 1,034,046 × 1,034,046
  4. Step 4: Simplify right side
    473,009.63x = 1,069,251,130,116
  5. Step 5: Solve for x
    x = 1,069,251,130,116/473,009.63
  6. Step 6: Final answer
    x = 2,260,527.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.