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Finding the Third Proportional to 532,276,309 and 1,164,894,502

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Solution

The third proportional to 532,276,309 and 1,164,894,502 is: 2,549,388,687.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,276,309 : 1,164,894,502 = 1,164,894,502 : x
  2. Step 2: Convert to fraction form
    532,276,309/1,164,894,502 = 1,164,894,502/x
  3. Step 3: Cross multiply
    532,276,309x = 1,164,894,502 × 1,164,894,502
  4. Step 4: Simplify right side
    532,276,309x = 1,356,979,200,789,828,096
  5. Step 5: Solve for x
    x = 1,356,979,200,789,828,096/532,276,309
  6. Step 6: Final answer
    x = 2,549,388,687.50

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.