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Finding the Third Proportional to 340,730,240 and 741,159,943

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Solution

The third proportional to 340,730,240 and 741,159,943 is: 1,612,178,775.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,730,240 : 741,159,943 = 741,159,943 : x
  2. Step 2: Convert to fraction form
    340,730,240/741,159,943 = 741,159,943/x
  3. Step 3: Cross multiply
    340,730,240x = 741,159,943 × 741,159,943
  4. Step 4: Simplify right side
    340,730,240x = 549,318,061,107,763,264
  5. Step 5: Solve for x
    x = 549,318,061,107,763,264/340,730,240
  6. Step 6: Final answer
    x = 1,612,178,775.53

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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.