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Finding the Third Proportional to 758,564 and 1,109,820

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Solution

The third proportional to 758,564 and 1,109,820 is: 1,623,726.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,564 : 1,109,820 = 1,109,820 : x
  2. Step 2: Convert to fraction form
    758,564/1,109,820 = 1,109,820/x
  3. Step 3: Cross multiply
    758,564x = 1,109,820 × 1,109,820
  4. Step 4: Simplify right side
    758,564x = 1,231,700,432,400
  5. Step 5: Solve for x
    x = 1,231,700,432,400/758,564
  6. Step 6: Final answer
    x = 1,623,726.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.