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Finding the Third Proportional to 456,461,559 and 971,950,242

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Solution

The third proportional to 456,461,559 and 971,950,242 is: 2,069,587,798.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,461,559 : 971,950,242 = 971,950,242 : x
  2. Step 2: Convert to fraction form
    456,461,559/971,950,242 = 971,950,242/x
  3. Step 3: Cross multiply
    456,461,559x = 971,950,242 × 971,950,242
  4. Step 4: Simplify right side
    456,461,559x = 944,687,272,923,858,560
  5. Step 5: Solve for x
    x = 944,687,272,923,858,560/456,461,559
  6. Step 6: Final answer
    x = 2,069,587,798.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.