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Finding the Third Proportional to 648,386 and 1,041,774

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Solution

The third proportional to 648,386 and 1,041,774 is: 1,673,837.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,386 : 1,041,774 = 1,041,774 : x
  2. Step 2: Convert to fraction form
    648,386/1,041,774 = 1,041,774/x
  3. Step 3: Cross multiply
    648,386x = 1,041,774 × 1,041,774
  4. Step 4: Simplify right side
    648,386x = 1,085,293,067,076
  5. Step 5: Solve for x
    x = 1,085,293,067,076/648,386
  6. Step 6: Final answer
    x = 1,673,837.91

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.