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Finding the Third Proportional to 478,272,238 and 1,029,896,455

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Solution

The third proportional to 478,272,238 and 1,029,896,455 is: 2,217,746,763.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,272,238 : 1,029,896,455 = 1,029,896,455 : x
  2. Step 2: Convert to fraction form
    478,272,238/1,029,896,455 = 1,029,896,455/x
  3. Step 3: Cross multiply
    478,272,238x = 1,029,896,455 × 1,029,896,455
  4. Step 4: Simplify right side
    478,272,238x = 1,060,686,708,021,566,976
  5. Step 5: Solve for x
    x = 1,060,686,708,021,566,976/478,272,238
  6. Step 6: Final answer
    x = 2,217,746,763.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.