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Finding the Third Proportional to 477,435 and 1,050,822

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Solution

The third proportional to 477,435 and 1,050,822 is: 2,312,831.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,435 : 1,050,822 = 1,050,822 : x
  2. Step 2: Convert to fraction form
    477,435/1,050,822 = 1,050,822/x
  3. Step 3: Cross multiply
    477,435x = 1,050,822 × 1,050,822
  4. Step 4: Simplify right side
    477,435x = 1,104,226,875,684
  5. Step 5: Solve for x
    x = 1,104,226,875,684/477,435
  6. Step 6: Final answer
    x = 2,312,831.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.