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Finding the Third Proportional to 598,109.06 and 1,312,475.91

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Solution

The third proportional to 598,109.06 and 1,312,475.91 is: 2,880,065.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,109.06 : 1,312,475.91 = 1,312,475.91 : x
  2. Step 2: Convert to fraction form
    598,109.06/1,312,475.91 = 1,312,475.91/x
  3. Step 3: Cross multiply
    598,109.06x = 1,312,475.91 × 1,312,475.91
  4. Step 4: Simplify right side
    598,109.06x = 1,722,593,004,486.76
  5. Step 5: Solve for x
    x = 1,722,593,004,486.76/598,109.06
  6. Step 6: Final answer
    x = 2,880,065.05

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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.