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Finding the Third Proportional to 2,101,830 and 4,371,402

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Solution

The third proportional to 2,101,830 and 4,371,402 is: 9,091,675.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101,830 : 4,371,402 = 4,371,402 : x
  2. Step 2: Convert to fraction form
    2,101,830/4,371,402 = 4,371,402/x
  3. Step 3: Cross multiply
    2,101,830x = 4,371,402 × 4,371,402
  4. Step 4: Simplify right side
    2,101,830x = 19,109,155,445,604
  5. Step 5: Solve for x
    x = 19,109,155,445,604/2,101,830
  6. Step 6: Final answer
    x = 9,091,675.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.