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Finding the Third Proportional to 499,952,343 and 1,087,916,506

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Solution

The third proportional to 499,952,343 and 1,087,916,506 is: 2,367,350,289.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,952,343 : 1,087,916,506 = 1,087,916,506 : x
  2. Step 2: Convert to fraction form
    499,952,343/1,087,916,506 = 1,087,916,506/x
  3. Step 3: Cross multiply
    499,952,343x = 1,087,916,506 × 1,087,916,506
  4. Step 4: Simplify right side
    499,952,343x = 1,183,562,324,027,248,128
  5. Step 5: Solve for x
    x = 1,183,562,324,027,248,128/499,952,343
  6. Step 6: Final answer
    x = 2,367,350,289.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.