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Finding the Third Proportional to 934,710 and 2,033,442

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Solution

The third proportional to 934,710 and 2,033,442 is: 4,423,710.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,710 : 2,033,442 = 2,033,442 : x
  2. Step 2: Convert to fraction form
    934,710/2,033,442 = 2,033,442/x
  3. Step 3: Cross multiply
    934,710x = 2,033,442 × 2,033,442
  4. Step 4: Simplify right side
    934,710x = 4,134,886,367,364
  5. Step 5: Solve for x
    x = 4,134,886,367,364/934,710
  6. Step 6: Final answer
    x = 4,423,710.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.