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Finding the Third Proportional to 765,036 and 1,124,225

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Solution

The third proportional to 765,036 and 1,124,225 is: 1,652,055.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,036 : 1,124,225 = 1,124,225 : x
  2. Step 2: Convert to fraction form
    765,036/1,124,225 = 1,124,225/x
  3. Step 3: Cross multiply
    765,036x = 1,124,225 × 1,124,225
  4. Step 4: Simplify right side
    765,036x = 1,263,881,850,625
  5. Step 5: Solve for x
    x = 1,263,881,850,625/765,036
  6. Step 6: Final answer
    x = 1,652,055.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.