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Finding the Third Proportional to 758,140 and 1,649,140

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Solution

The third proportional to 758,140 and 1,649,140 is: 3,587,283.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,140 : 1,649,140 = 1,649,140 : x
  2. Step 2: Convert to fraction form
    758,140/1,649,140 = 1,649,140/x
  3. Step 3: Cross multiply
    758,140x = 1,649,140 × 1,649,140
  4. Step 4: Simplify right side
    758,140x = 2,719,662,739,600
  5. Step 5: Solve for x
    x = 2,719,662,739,600/758,140
  6. Step 6: Final answer
    x = 3,587,283.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.