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Finding the Third Proportional to 415,559 and 897,538

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Solution

The third proportional to 415,559 and 897,538 is: 1,938,532.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,559 : 897,538 = 897,538 : x
  2. Step 2: Convert to fraction form
    415,559/897,538 = 897,538/x
  3. Step 3: Cross multiply
    415,559x = 897,538 × 897,538
  4. Step 4: Simplify right side
    415,559x = 805,574,461,444
  5. Step 5: Solve for x
    x = 805,574,461,444/415,559
  6. Step 6: Final answer
    x = 1,938,532.10

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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.