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Finding the Third Proportional to 487,244,666 and 799,865,823

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Solution

The third proportional to 487,244,666 and 799,865,823 is: 1,313,067,909.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,244,666 : 799,865,823 = 799,865,823 : x
  2. Step 2: Convert to fraction form
    487,244,666/799,865,823 = 799,865,823/x
  3. Step 3: Cross multiply
    487,244,666x = 799,865,823 × 799,865,823
  4. Step 4: Simplify right side
    487,244,666x = 639,785,334,803,467,392
  5. Step 5: Solve for x
    x = 639,785,334,803,467,392/487,244,666
  6. Step 6: Final answer
    x = 1,313,067,909.10

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.