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Finding the Third Proportional to 702,981 and 1,534,545

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Solution

The third proportional to 702,981 and 1,534,545 is: 3,349,775.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,981 : 1,534,545 = 1,534,545 : x
  2. Step 2: Convert to fraction form
    702,981/1,534,545 = 1,534,545/x
  3. Step 3: Cross multiply
    702,981x = 1,534,545 × 1,534,545
  4. Step 4: Simplify right side
    702,981x = 2,354,828,357,025
  5. Step 5: Solve for x
    x = 2,354,828,357,025/702,981
  6. Step 6: Final answer
    x = 3,349,775.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.