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Finding the Third Proportional to 610,528 and 897,498

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Solution

The third proportional to 610,528 and 897,498 is: 1,319,354.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,528 : 897,498 = 897,498 : x
  2. Step 2: Convert to fraction form
    610,528/897,498 = 897,498/x
  3. Step 3: Cross multiply
    610,528x = 897,498 × 897,498
  4. Step 4: Simplify right side
    610,528x = 805,502,660,004
  5. Step 5: Solve for x
    x = 805,502,660,004/610,528
  6. Step 6: Final answer
    x = 1,319,354.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.