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Finding the Third Proportional to 977,044.78 and 2,152,871.16

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Solution

The third proportional to 977,044.78 and 2,152,871.16 is: 4,743,747.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,044.78 : 2,152,871.16 = 2,152,871.16 : x
  2. Step 2: Convert to fraction form
    977,044.78/2,152,871.16 = 2,152,871.16/x
  3. Step 3: Cross multiply
    977,044.78x = 2,152,871.16 × 2,152,871.16
  4. Step 4: Simplify right side
    977,044.78x = 4,634,854,215,413.21
  5. Step 5: Solve for x
    x = 4,634,854,215,413.21/977,044.78
  6. Step 6: Final answer
    x = 4,743,747.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.