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Finding the Third Proportional to 977,237.16 and 1,485,780.47

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Solution

The third proportional to 977,237.16 and 1,485,780.47 is: 2,258,964.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,237.16 : 1,485,780.47 = 1,485,780.47 : x
  2. Step 2: Convert to fraction form
    977,237.16/1,485,780.47 = 1,485,780.47/x
  3. Step 3: Cross multiply
    977,237.16x = 1,485,780.47 × 1,485,780.47
  4. Step 4: Simplify right side
    977,237.16x = 2,207,543,601,318.97
  5. Step 5: Solve for x
    x = 2,207,543,601,318.97/977,237.16
  6. Step 6: Final answer
    x = 2,258,964.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.