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Finding the Third Proportional to 977,597 and 2,044,567

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Solution

The third proportional to 977,597 and 2,044,567 is: 4,276,050.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,597 : 2,044,567 = 2,044,567 : x
  2. Step 2: Convert to fraction form
    977,597/2,044,567 = 2,044,567/x
  3. Step 3: Cross multiply
    977,597x = 2,044,567 × 2,044,567
  4. Step 4: Simplify right side
    977,597x = 4,180,254,217,489
  5. Step 5: Solve for x
    x = 4,180,254,217,489/977,597
  6. Step 6: Final answer
    x = 4,276,050.58

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.