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Finding the Third Proportional to 739,894 and 1,107,813

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Solution

The third proportional to 739,894 and 1,107,813 is: 1,658,683.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,894 : 1,107,813 = 1,107,813 : x
  2. Step 2: Convert to fraction form
    739,894/1,107,813 = 1,107,813/x
  3. Step 3: Cross multiply
    739,894x = 1,107,813 × 1,107,813
  4. Step 4: Simplify right side
    739,894x = 1,227,249,642,969
  5. Step 5: Solve for x
    x = 1,227,249,642,969/739,894
  6. Step 6: Final answer
    x = 1,658,683.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.