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Finding the Third Proportional to 718,924 and 1,127,682

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Solution

The third proportional to 718,924 and 1,127,682 is: 1,768,847.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,924 : 1,127,682 = 1,127,682 : x
  2. Step 2: Convert to fraction form
    718,924/1,127,682 = 1,127,682/x
  3. Step 3: Cross multiply
    718,924x = 1,127,682 × 1,127,682
  4. Step 4: Simplify right side
    718,924x = 1,271,666,693,124
  5. Step 5: Solve for x
    x = 1,271,666,693,124/718,924
  6. Step 6: Final answer
    x = 1,768,847.18

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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.