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Finding the Third Proportional to 1,001,040 and 2,159,543

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Solution

The third proportional to 1,001,040 and 2,159,543 is: 4,658,780.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001,040 : 2,159,543 = 2,159,543 : x
  2. Step 2: Convert to fraction form
    1,001,040/2,159,543 = 2,159,543/x
  3. Step 3: Cross multiply
    1,001,040x = 2,159,543 × 2,159,543
  4. Step 4: Simplify right side
    1,001,040x = 4,663,625,968,849
  5. Step 5: Solve for x
    x = 4,663,625,968,849/1,001,040
  6. Step 6: Final answer
    x = 4,658,780.84

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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.