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Finding the Third Proportional to 2,226,438 and 4,767,696

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Solution

The third proportional to 2,226,438 and 4,767,696 is: 10,209,547.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226,438 : 4,767,696 = 4,767,696 : x
  2. Step 2: Convert to fraction form
    2,226,438/4,767,696 = 4,767,696/x
  3. Step 3: Cross multiply
    2,226,438x = 4,767,696 × 4,767,696
  4. Step 4: Simplify right side
    2,226,438x = 22,730,925,148,416
  5. Step 5: Solve for x
    x = 22,730,925,148,416/2,226,438
  6. Step 6: Final answer
    x = 10,209,547.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.