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Finding the Third Proportional to 949,742 and 1,358,039

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Solution

The third proportional to 949,742 and 1,358,039 is: 1,941,864.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,742 : 1,358,039 = 1,358,039 : x
  2. Step 2: Convert to fraction form
    949,742/1,358,039 = 1,358,039/x
  3. Step 3: Cross multiply
    949,742x = 1,358,039 × 1,358,039
  4. Step 4: Simplify right side
    949,742x = 1,844,269,925,521
  5. Step 5: Solve for x
    x = 1,844,269,925,521/949,742
  6. Step 6: Final answer
    x = 1,941,864.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.