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Finding the Third Proportional to 765,038 and 1,124,228

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Solution

The third proportional to 765,038 and 1,124,228 is: 1,652,059.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,038 : 1,124,228 = 1,124,228 : x
  2. Step 2: Convert to fraction form
    765,038/1,124,228 = 1,124,228/x
  3. Step 3: Cross multiply
    765,038x = 1,124,228 × 1,124,228
  4. Step 4: Simplify right side
    765,038x = 1,263,888,595,984
  5. Step 5: Solve for x
    x = 1,263,888,595,984/765,038
  6. Step 6: Final answer
    x = 1,652,059.89

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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.