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Finding the Third Proportional to 456,900,120 and 706,309,334

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Solution

The third proportional to 456,900,120 and 706,309,334 is: 1,091,864,180.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,900,120 : 706,309,334 = 706,309,334 : x
  2. Step 2: Convert to fraction form
    456,900,120/706,309,334 = 706,309,334/x
  3. Step 3: Cross multiply
    456,900,120x = 706,309,334 × 706,309,334
  4. Step 4: Simplify right side
    456,900,120x = 498,872,875,295,523,584
  5. Step 5: Solve for x
    x = 498,872,875,295,523,584/456,900,120
  6. Step 6: Final answer
    x = 1,091,864,180.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.