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Finding the Third Proportional to 697,614 and 1,506,732

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Solution

The third proportional to 697,614 and 1,506,732 is: 3,254,294.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,614 : 1,506,732 = 1,506,732 : x
  2. Step 2: Convert to fraction form
    697,614/1,506,732 = 1,506,732/x
  3. Step 3: Cross multiply
    697,614x = 1,506,732 × 1,506,732
  4. Step 4: Simplify right side
    697,614x = 2,270,241,319,824
  5. Step 5: Solve for x
    x = 2,270,241,319,824/697,614
  6. Step 6: Final answer
    x = 3,254,294.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.