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Finding the Third Proportional to 702,038 and 1,516,150

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Solution

The third proportional to 702,038 and 1,516,150 is: 3,274,339.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,038 : 1,516,150 = 1,516,150 : x
  2. Step 2: Convert to fraction form
    702,038/1,516,150 = 1,516,150/x
  3. Step 3: Cross multiply
    702,038x = 1,516,150 × 1,516,150
  4. Step 4: Simplify right side
    702,038x = 2,298,710,822,500
  5. Step 5: Solve for x
    x = 2,298,710,822,500/702,038
  6. Step 6: Final answer
    x = 3,274,339.60

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.