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Finding the Third Proportional to 717,146,462 and 1,055,212,482

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Solution

The third proportional to 717,146,462 and 1,055,212,482 is: 1,552,644,321.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,146,462 : 1,055,212,482 = 1,055,212,482 : x
  2. Step 2: Convert to fraction form
    717,146,462/1,055,212,482 = 1,055,212,482/x
  3. Step 3: Cross multiply
    717,146,462x = 1,055,212,482 × 1,055,212,482
  4. Step 4: Simplify right side
    717,146,462x = 1,113,473,382,168,600,320
  5. Step 5: Solve for x
    x = 1,113,473,382,168,600,320/717,146,462
  6. Step 6: Final answer
    x = 1,552,644,321.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.