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Finding the Third Proportional to 2,934,294 and 6,428,460

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Solution

The third proportional to 2,934,294 and 6,428,460 is: 14,083,489.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934,294 : 6,428,460 = 6,428,460 : x
  2. Step 2: Convert to fraction form
    2,934,294/6,428,460 = 6,428,460/x
  3. Step 3: Cross multiply
    2,934,294x = 6,428,460 × 6,428,460
  4. Step 4: Simplify right side
    2,934,294x = 41,325,097,971,600
  5. Step 5: Solve for x
    x = 41,325,097,971,600/2,934,294
  6. Step 6: Final answer
    x = 14,083,489.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.