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Finding the Third Proportional to 931,768 and 1,405,380

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Solution

The third proportional to 931,768 and 1,405,380 is: 2,119,726.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,768 : 1,405,380 = 1,405,380 : x
  2. Step 2: Convert to fraction form
    931,768/1,405,380 = 1,405,380/x
  3. Step 3: Cross multiply
    931,768x = 1,405,380 × 1,405,380
  4. Step 4: Simplify right side
    931,768x = 1,975,092,944,400
  5. Step 5: Solve for x
    x = 1,975,092,944,400/931,768
  6. Step 6: Final answer
    x = 2,119,726.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.