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Finding the Third Proportional to 943,864,814 and 1,428,912,417

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Solution

The third proportional to 943,864,814 and 1,428,912,417 is: 2,163,223,657.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,864,814 : 1,428,912,417 = 1,428,912,417 : x
  2. Step 2: Convert to fraction form
    943,864,814/1,428,912,417 = 1,428,912,417/x
  3. Step 3: Cross multiply
    943,864,814x = 1,428,912,417 × 1,428,912,417
  4. Step 4: Simplify right side
    943,864,814x = 2,041,790,695,456,781,824
  5. Step 5: Solve for x
    x = 2,041,790,695,456,781,824/943,864,814
  6. Step 6: Final answer
    x = 2,163,223,657.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.