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Finding the Third Proportional to 425,700 and 909,240

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Solution

The third proportional to 425,700 and 909,240 is: 1,942,018.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,700 : 909,240 = 909,240 : x
  2. Step 2: Convert to fraction form
    425,700/909,240 = 909,240/x
  3. Step 3: Cross multiply
    425,700x = 909,240 × 909,240
  4. Step 4: Simplify right side
    425,700x = 826,717,377,600
  5. Step 5: Solve for x
    x = 826,717,377,600/425,700
  6. Step 6: Final answer
    x = 1,942,018.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.