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Finding the Third Proportional to 765,983,748 and 1,213,102,814

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Solution

The third proportional to 765,983,748 and 1,213,102,814 is: 1,921,213,656.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,983,748 : 1,213,102,814 = 1,213,102,814 : x
  2. Step 2: Convert to fraction form
    765,983,748/1,213,102,814 = 1,213,102,814/x
  3. Step 3: Cross multiply
    765,983,748x = 1,213,102,814 × 1,213,102,814
  4. Step 4: Simplify right side
    765,983,748x = 1,471,618,437,334,718,720
  5. Step 5: Solve for x
    x = 1,471,618,437,334,718,720/765,983,748
  6. Step 6: Final answer
    x = 1,921,213,656.53

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.