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Finding the Third Proportional to 1,148,400 and 1,762,776

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Solution

The third proportional to 1,148,400 and 1,762,776 is: 2,705,833.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148,400 : 1,762,776 = 1,762,776 : x
  2. Step 2: Convert to fraction form
    1,148,400/1,762,776 = 1,762,776/x
  3. Step 3: Cross multiply
    1,148,400x = 1,762,776 × 1,762,776
  4. Step 4: Simplify right side
    1,148,400x = 3,107,379,226,176
  5. Step 5: Solve for x
    x = 3,107,379,226,176/1,148,400
  6. Step 6: Final answer
    x = 2,705,833.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.