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Finding the Third Proportional to 761,425,314 and 1,027,341,522

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Solution

The third proportional to 761,425,314 and 1,027,341,522 is: 1,386,124,920.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,425,314 : 1,027,341,522 = 1,027,341,522 : x
  2. Step 2: Convert to fraction form
    761,425,314/1,027,341,522 = 1,027,341,522/x
  3. Step 3: Cross multiply
    761,425,314x = 1,027,341,522 × 1,027,341,522
  4. Step 4: Simplify right side
    761,425,314x = 1,055,430,602,825,276,544
  5. Step 5: Solve for x
    x = 1,055,430,602,825,276,544/761,425,314
  6. Step 6: Final answer
    x = 1,386,124,920.49

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.