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Finding the Third Proportional to 977,523 and 2,091,729

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Solution

The third proportional to 977,523 and 2,091,729 is: 4,475,935.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,523 : 2,091,729 = 2,091,729 : x
  2. Step 2: Convert to fraction form
    977,523/2,091,729 = 2,091,729/x
  3. Step 3: Cross multiply
    977,523x = 2,091,729 × 2,091,729
  4. Step 4: Simplify right side
    977,523x = 4,375,330,209,441
  5. Step 5: Solve for x
    x = 4,375,330,209,441/977,523
  6. Step 6: Final answer
    x = 4,475,935.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.