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Finding the Third Proportional to 610,532 and 897,504

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Solution

The third proportional to 610,532 and 897,504 is: 1,319,363.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,532 : 897,504 = 897,504 : x
  2. Step 2: Convert to fraction form
    610,532/897,504 = 897,504/x
  3. Step 3: Cross multiply
    610,532x = 897,504 × 897,504
  4. Step 4: Simplify right side
    610,532x = 805,513,430,016
  5. Step 5: Solve for x
    x = 805,513,430,016/610,532
  6. Step 6: Final answer
    x = 1,319,363.16

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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.