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Finding the Third Proportional to 652,708 and 1,008,704

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Solution

The third proportional to 652,708 and 1,008,704 is: 1,558,865.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,708 : 1,008,704 = 1,008,704 : x
  2. Step 2: Convert to fraction form
    652,708/1,008,704 = 1,008,704/x
  3. Step 3: Cross multiply
    652,708x = 1,008,704 × 1,008,704
  4. Step 4: Simplify right side
    652,708x = 1,017,483,759,616
  5. Step 5: Solve for x
    x = 1,017,483,759,616/652,708
  6. Step 6: Final answer
    x = 1,558,865.16

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.