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Finding the Third Proportional to 655,526 and 989,283

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Solution

The third proportional to 655,526 and 989,283 is: 1,492,970.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,526 : 989,283 = 989,283 : x
  2. Step 2: Convert to fraction form
    655,526/989,283 = 989,283/x
  3. Step 3: Cross multiply
    655,526x = 989,283 × 989,283
  4. Step 4: Simplify right side
    655,526x = 978,680,854,089
  5. Step 5: Solve for x
    x = 978,680,854,089/655,526
  6. Step 6: Final answer
    x = 1,492,970.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.