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Finding the Third Proportional to 612,506 and 897,987

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Solution

The third proportional to 612,506 and 897,987 is: 1,316,526.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,506 : 897,987 = 897,987 : x
  2. Step 2: Convert to fraction form
    612,506/897,987 = 897,987/x
  3. Step 3: Cross multiply
    612,506x = 897,987 × 897,987
  4. Step 4: Simplify right side
    612,506x = 806,380,652,169
  5. Step 5: Solve for x
    x = 806,380,652,169/612,506
  6. Step 6: Final answer
    x = 1,316,526.94

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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.