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Finding the Third Proportional to 3,221,464 and 4,506,207

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Solution

The third proportional to 3,221,464 and 4,506,207 is: 6,303,314.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221,464 : 4,506,207 = 4,506,207 : x
  2. Step 2: Convert to fraction form
    3,221,464/4,506,207 = 4,506,207/x
  3. Step 3: Cross multiply
    3,221,464x = 4,506,207 × 4,506,207
  4. Step 4: Simplify right side
    3,221,464x = 20,305,901,526,849
  5. Step 5: Solve for x
    x = 20,305,901,526,849/3,221,464
  6. Step 6: Final answer
    x = 6,303,314.74

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.