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Finding the Third Proportional to 1,642,140 and 2,614,998

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Solution

The third proportional to 1,642,140 and 2,614,998 is: 4,164,209.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642,140 : 2,614,998 = 2,614,998 : x
  2. Step 2: Convert to fraction form
    1,642,140/2,614,998 = 2,614,998/x
  3. Step 3: Cross multiply
    1,642,140x = 2,614,998 × 2,614,998
  4. Step 4: Simplify right side
    1,642,140x = 6,838,214,540,004
  5. Step 5: Solve for x
    x = 6,838,214,540,004/1,642,140
  6. Step 6: Final answer
    x = 4,164,209.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.