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Finding the Third Proportional to 765,154 and 1,124,403

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Solution

The third proportional to 765,154 and 1,124,403 is: 1,652,323.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,154 : 1,124,403 = 1,124,403 : x
  2. Step 2: Convert to fraction form
    765,154/1,124,403 = 1,124,403/x
  3. Step 3: Cross multiply
    765,154x = 1,124,403 × 1,124,403
  4. Step 4: Simplify right side
    765,154x = 1,264,282,106,409
  5. Step 5: Solve for x
    x = 1,264,282,106,409/765,154
  6. Step 6: Final answer
    x = 1,652,323.72

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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.