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Finding the Third Proportional to 617,123,520 and 1,317,941,712

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Solution

The third proportional to 617,123,520 and 1,317,941,712 is: 2,814,623,490.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,123,520 : 1,317,941,712 = 1,317,941,712 : x
  2. Step 2: Convert to fraction form
    617,123,520/1,317,941,712 = 1,317,941,712/x
  3. Step 3: Cross multiply
    617,123,520x = 1,317,941,712 × 1,317,941,712
  4. Step 4: Simplify right side
    617,123,520x = 1,736,970,356,229,490,944
  5. Step 5: Solve for x
    x = 1,736,970,356,229,490,944/617,123,520
  6. Step 6: Final answer
    x = 2,814,623,490.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.