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Finding the Third Proportional to 669,358 and 1,019,724

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Solution

The third proportional to 669,358 and 1,019,724 is: 1,553,484.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,358 : 1,019,724 = 1,019,724 : x
  2. Step 2: Convert to fraction form
    669,358/1,019,724 = 1,019,724/x
  3. Step 3: Cross multiply
    669,358x = 1,019,724 × 1,019,724
  4. Step 4: Simplify right side
    669,358x = 1,039,837,036,176
  5. Step 5: Solve for x
    x = 1,039,837,036,176/669,358
  6. Step 6: Final answer
    x = 1,553,484.14

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