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Finding the Third Proportional to 929,394 and 1,376,820

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Solution

The third proportional to 929,394 and 1,376,820 is: 2,039,644.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,394 : 1,376,820 = 1,376,820 : x
  2. Step 2: Convert to fraction form
    929,394/1,376,820 = 1,376,820/x
  3. Step 3: Cross multiply
    929,394x = 1,376,820 × 1,376,820
  4. Step 4: Simplify right side
    929,394x = 1,895,633,312,400
  5. Step 5: Solve for x
    x = 1,895,633,312,400/929,394
  6. Step 6: Final answer
    x = 2,039,644.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.