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Finding the Third Proportional to 610,546 and 897,526

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Solution

The third proportional to 610,546 and 897,526 is: 1,319,397.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,546 : 897,526 = 897,526 : x
  2. Step 2: Convert to fraction form
    610,546/897,526 = 897,526/x
  3. Step 3: Cross multiply
    610,546x = 897,526 × 897,526
  4. Step 4: Simplify right side
    610,546x = 805,552,920,676
  5. Step 5: Solve for x
    x = 805,552,920,676/610,546
  6. Step 6: Final answer
    x = 1,319,397.59

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