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Finding the Third Proportional to 700,298 and 1,527,340

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Solution

The third proportional to 700,298 and 1,527,340 is: 3,331,106.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,298 : 1,527,340 = 1,527,340 : x
  2. Step 2: Convert to fraction form
    700,298/1,527,340 = 1,527,340/x
  3. Step 3: Cross multiply
    700,298x = 1,527,340 × 1,527,340
  4. Step 4: Simplify right side
    700,298x = 2,332,767,475,600
  5. Step 5: Solve for x
    x = 2,332,767,475,600/700,298
  6. Step 6: Final answer
    x = 3,331,106.87

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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.