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Finding the Third Proportional to 758,120 and 1,634,332

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Solution

The third proportional to 758,120 and 1,634,332 is: 3,523,243.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,120 : 1,634,332 = 1,634,332 : x
  2. Step 2: Convert to fraction form
    758,120/1,634,332 = 1,634,332/x
  3. Step 3: Cross multiply
    758,120x = 1,634,332 × 1,634,332
  4. Step 4: Simplify right side
    758,120x = 2,671,041,086,224
  5. Step 5: Solve for x
    x = 2,671,041,086,224/758,120
  6. Step 6: Final answer
    x = 3,523,243.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.