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Finding the Third Proportional to 697,840 and 1,106,792

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Solution

The third proportional to 697,840 and 1,106,792 is: 1,755,400.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,840 : 1,106,792 = 1,106,792 : x
  2. Step 2: Convert to fraction form
    697,840/1,106,792 = 1,106,792/x
  3. Step 3: Cross multiply
    697,840x = 1,106,792 × 1,106,792
  4. Step 4: Simplify right side
    697,840x = 1,224,988,531,264
  5. Step 5: Solve for x
    x = 1,224,988,531,264/697,840
  6. Step 6: Final answer
    x = 1,755,400.28

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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.