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Finding the Third Proportional to 2,343,438 and 3,540,294

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Solution

The third proportional to 2,343,438 and 3,540,294 is: 5,348,416.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343,438 : 3,540,294 = 3,540,294 : x
  2. Step 2: Convert to fraction form
    2,343,438/3,540,294 = 3,540,294/x
  3. Step 3: Cross multiply
    2,343,438x = 3,540,294 × 3,540,294
  4. Step 4: Simplify right side
    2,343,438x = 12,533,681,606,436
  5. Step 5: Solve for x
    x = 12,533,681,606,436/2,343,438
  6. Step 6: Final answer
    x = 5,348,416.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.