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Finding the Third Proportional to 702,038 and 1,516,153

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Solution

The third proportional to 702,038 and 1,516,153 is: 3,274,352.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,038 : 1,516,153 = 1,516,153 : x
  2. Step 2: Convert to fraction form
    702,038/1,516,153 = 1,516,153/x
  3. Step 3: Cross multiply
    702,038x = 1,516,153 × 1,516,153
  4. Step 4: Simplify right side
    702,038x = 2,298,719,919,409
  5. Step 5: Solve for x
    x = 2,298,719,919,409/702,038
  6. Step 6: Final answer
    x = 3,274,352.56

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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.