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Finding the Third Proportional to 702,032 and 1,516,140

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Solution

The third proportional to 702,032 and 1,516,140 is: 3,274,324.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,032 : 1,516,140 = 1,516,140 : x
  2. Step 2: Convert to fraction form
    702,032/1,516,140 = 1,516,140/x
  3. Step 3: Cross multiply
    702,032x = 1,516,140 × 1,516,140
  4. Step 4: Simplify right side
    702,032x = 2,298,680,499,600
  5. Step 5: Solve for x
    x = 2,298,680,499,600/702,032
  6. Step 6: Final answer
    x = 3,274,324.39

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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.