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Finding the Third Proportional to 873,605 and 1,370,681

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Solution

The third proportional to 873,605 and 1,370,681 is: 2,150,590.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,605 : 1,370,681 = 1,370,681 : x
  2. Step 2: Convert to fraction form
    873,605/1,370,681 = 1,370,681/x
  3. Step 3: Cross multiply
    873,605x = 1,370,681 × 1,370,681
  4. Step 4: Simplify right side
    873,605x = 1,878,766,403,761
  5. Step 5: Solve for x
    x = 1,878,766,403,761/873,605
  6. Step 6: Final answer
    x = 2,150,590.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.