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Finding the Third Proportional to 669,353 and 1,019,712

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Solution

The third proportional to 669,353 and 1,019,712 is: 1,553,459.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,353 : 1,019,712 = 1,019,712 : x
  2. Step 2: Convert to fraction form
    669,353/1,019,712 = 1,019,712/x
  3. Step 3: Cross multiply
    669,353x = 1,019,712 × 1,019,712
  4. Step 4: Simplify right side
    669,353x = 1,039,812,562,944
  5. Step 5: Solve for x
    x = 1,039,812,562,944/669,353
  6. Step 6: Final answer
    x = 1,553,459.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.