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Finding the Third Proportional to 714,960 and 1,000,022

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Solution

The third proportional to 714,960 and 1,000,022 is: 1,398,741.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,960 : 1,000,022 = 1,000,022 : x
  2. Step 2: Convert to fraction form
    714,960/1,000,022 = 1,000,022/x
  3. Step 3: Cross multiply
    714,960x = 1,000,022 × 1,000,022
  4. Step 4: Simplify right side
    714,960x = 1,000,044,000,484
  5. Step 5: Solve for x
    x = 1,000,044,000,484/714,960
  6. Step 6: Final answer
    x = 1,398,741.19

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.