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Finding the Third Proportional to 763,496 and 1,144,776

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Solution

The third proportional to 763,496 and 1,144,776 is: 1,716,462.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,496 : 1,144,776 = 1,144,776 : x
  2. Step 2: Convert to fraction form
    763,496/1,144,776 = 1,144,776/x
  3. Step 3: Cross multiply
    763,496x = 1,144,776 × 1,144,776
  4. Step 4: Simplify right side
    763,496x = 1,310,512,090,176
  5. Step 5: Solve for x
    x = 1,310,512,090,176/763,496
  6. Step 6: Final answer
    x = 1,716,462.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.