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Finding the Third Proportional to 760,975 and 1,142,464

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Solution

The third proportional to 760,975 and 1,142,464 is: 1,715,199.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,975 : 1,142,464 = 1,142,464 : x
  2. Step 2: Convert to fraction form
    760,975/1,142,464 = 1,142,464/x
  3. Step 3: Cross multiply
    760,975x = 1,142,464 × 1,142,464
  4. Step 4: Simplify right side
    760,975x = 1,305,223,991,296
  5. Step 5: Solve for x
    x = 1,305,223,991,296/760,975
  6. Step 6: Final answer
    x = 1,715,199.57

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Why These Related Problems?

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