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Finding the Third Proportional to 702,040 and 1,516,157

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Solution

The third proportional to 702,040 and 1,516,157 is: 3,274,360.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,040 : 1,516,157 = 1,516,157 : x
  2. Step 2: Convert to fraction form
    702,040/1,516,157 = 1,516,157/x
  3. Step 3: Cross multiply
    702,040x = 1,516,157 × 1,516,157
  4. Step 4: Simplify right side
    702,040x = 2,298,732,048,649
  5. Step 5: Solve for x
    x = 2,298,732,048,649/702,040
  6. Step 6: Final answer
    x = 3,274,360.50

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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.