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Finding the Third Proportional to 610,535 and 897,511

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Solution

The third proportional to 610,535 and 897,511 is: 1,319,377.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,535 : 897,511 = 897,511 : x
  2. Step 2: Convert to fraction form
    610,535/897,511 = 897,511/x
  3. Step 3: Cross multiply
    610,535x = 897,511 × 897,511
  4. Step 4: Simplify right side
    610,535x = 805,525,995,121
  5. Step 5: Solve for x
    x = 805,525,995,121/610,535
  6. Step 6: Final answer
    x = 1,319,377.26

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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.