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Finding the Third Proportional to 340,730,460 and 741,160,440

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Solution

The third proportional to 340,730,460 and 741,160,440 is: 1,612,179,896.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,730,460 : 741,160,440 = 741,160,440 : x
  2. Step 2: Convert to fraction form
    340,730,460/741,160,440 = 741,160,440/x
  3. Step 3: Cross multiply
    340,730,460x = 741,160,440 × 741,160,440
  4. Step 4: Simplify right side
    340,730,460x = 549,318,797,820,993,600
  5. Step 5: Solve for x
    x = 549,318,797,820,993,600/340,730,460
  6. Step 6: Final answer
    x = 1,612,179,896.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.