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Finding the Third Proportional to 4,719,146 and 7,287,346

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Solution

The third proportional to 4,719,146 and 7,287,346 is: 11,253,182.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,719,146 : 7,287,346 = 7,287,346 : x
  2. Step 2: Convert to fraction form
    4,719,146/7,287,346 = 7,287,346/x
  3. Step 3: Cross multiply
    4,719,146x = 7,287,346 × 7,287,346
  4. Step 4: Simplify right side
    4,719,146x = 53,105,411,723,716
  5. Step 5: Solve for x
    x = 53,105,411,723,716/4,719,146
  6. Step 6: Final answer
    x = 11,253,182.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.