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Finding the Third Proportional to 519,965,574 and 1,121,832,840

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Solution

The third proportional to 519,965,574 and 1,121,832,840 is: 2,420,369,701.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,965,574 : 1,121,832,840 = 1,121,832,840 : x
  2. Step 2: Convert to fraction form
    519,965,574/1,121,832,840 = 1,121,832,840/x
  3. Step 3: Cross multiply
    519,965,574x = 1,121,832,840 × 1,121,832,840
  4. Step 4: Simplify right side
    519,965,574x = 1,258,508,920,902,465,536
  5. Step 5: Solve for x
    x = 1,258,508,920,902,465,536/519,965,574
  6. Step 6: Final answer
    x = 2,420,369,701.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.