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Finding the Third Proportional to 2,702,010 and 4,216,599

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Solution

The third proportional to 2,702,010 and 4,216,599 is: 6,580,178.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702,010 : 4,216,599 = 4,216,599 : x
  2. Step 2: Convert to fraction form
    2,702,010/4,216,599 = 4,216,599/x
  3. Step 3: Cross multiply
    2,702,010x = 4,216,599 × 4,216,599
  4. Step 4: Simplify right side
    2,702,010x = 17,779,707,126,801
  5. Step 5: Solve for x
    x = 17,779,707,126,801/2,702,010
  6. Step 6: Final answer
    x = 6,580,178.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.