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Finding the Third Proportional to 830,752 and 1,244,743

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Solution

The third proportional to 830,752 and 1,244,743 is: 1,865,039.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,752 : 1,244,743 = 1,244,743 : x
  2. Step 2: Convert to fraction form
    830,752/1,244,743 = 1,244,743/x
  3. Step 3: Cross multiply
    830,752x = 1,244,743 × 1,244,743
  4. Step 4: Simplify right side
    830,752x = 1,549,385,136,049
  5. Step 5: Solve for x
    x = 1,549,385,136,049/830,752
  6. Step 6: Final answer
    x = 1,865,039.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.