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Finding the Third Proportional to 708,397 and 1,528,738

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Solution

The third proportional to 708,397 and 1,528,738 is: 3,299,053.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,397 : 1,528,738 = 1,528,738 : x
  2. Step 2: Convert to fraction form
    708,397/1,528,738 = 1,528,738/x
  3. Step 3: Cross multiply
    708,397x = 1,528,738 × 1,528,738
  4. Step 4: Simplify right side
    708,397x = 2,337,039,872,644
  5. Step 5: Solve for x
    x = 2,337,039,872,644/708,397
  6. Step 6: Final answer
    x = 3,299,053.88

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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.