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Finding the Third Proportional to 1,001,534 and 2,160,348

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Solution

The third proportional to 1,001,534 and 2,160,348 is: 4,659,955.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001,534 : 2,160,348 = 2,160,348 : x
  2. Step 2: Convert to fraction form
    1,001,534/2,160,348 = 2,160,348/x
  3. Step 3: Cross multiply
    1,001,534x = 2,160,348 × 2,160,348
  4. Step 4: Simplify right side
    1,001,534x = 4,667,103,481,104
  5. Step 5: Solve for x
    x = 4,667,103,481,104/1,001,534
  6. Step 6: Final answer
    x = 4,659,955.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.