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Finding the Third Proportional to 1,002,573,216 and 1,460,231,280

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Solution

The third proportional to 1,002,573,216 and 1,460,231,280 is: 2,126,802,668.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,573,216 : 1,460,231,280 = 1,460,231,280 : x
  2. Step 2: Convert to fraction form
    1,002,573,216/1,460,231,280 = 1,460,231,280/x
  3. Step 3: Cross multiply
    1,002,573,216x = 1,460,231,280 × 1,460,231,280
  4. Step 4: Simplify right side
    1,002,573,216x = 2,132,275,391,090,438,400
  5. Step 5: Solve for x
    x = 2,132,275,391,090,438,400/1,002,573,216
  6. Step 6: Final answer
    x = 2,126,802,668.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.