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Finding the Third Proportional to 702,124.50 and 1,057,966.50

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Solution

The third proportional to 702,124.50 and 1,057,966.50 is: 1,594,151.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,124.50 : 1,057,966.50 = 1,057,966.50 : x
  2. Step 2: Convert to fraction form
    702,124.50/1,057,966.50 = 1,057,966.50/x
  3. Step 3: Cross multiply
    702,124.50x = 1,057,966.50 × 1,057,966.50
  4. Step 4: Simplify right side
    702,124.50x = 1,119,293,115,122.25
  5. Step 5: Solve for x
    x = 1,119,293,115,122.25/702,124.50
  6. Step 6: Final answer
    x = 1,594,151.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.