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Finding the Third Proportional to 721,616 and 1,025,712

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Solution

The third proportional to 721,616 and 1,025,712 is: 1,457,957.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,616 : 1,025,712 = 1,025,712 : x
  2. Step 2: Convert to fraction form
    721,616/1,025,712 = 1,025,712/x
  3. Step 3: Cross multiply
    721,616x = 1,025,712 × 1,025,712
  4. Step 4: Simplify right side
    721,616x = 1,052,085,106,944
  5. Step 5: Solve for x
    x = 1,052,085,106,944/721,616
  6. Step 6: Final answer
    x = 1,457,957.01

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.