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Finding the Third Proportional to 2,735,294 and 5,952,202

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Solution

The third proportional to 2,735,294 and 5,952,202 is: 12,952,431.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735,294 : 5,952,202 = 5,952,202 : x
  2. Step 2: Convert to fraction form
    2,735,294/5,952,202 = 5,952,202/x
  3. Step 3: Cross multiply
    2,735,294x = 5,952,202 × 5,952,202
  4. Step 4: Simplify right side
    2,735,294x = 35,428,708,648,804
  5. Step 5: Solve for x
    x = 35,428,708,648,804/2,735,294
  6. Step 6: Final answer
    x = 12,952,431.68

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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.