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Finding the Third Proportional to 758,784 and 1,136,196

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Solution

The third proportional to 758,784 and 1,136,196 is: 1,701,329.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,784 : 1,136,196 = 1,136,196 : x
  2. Step 2: Convert to fraction form
    758,784/1,136,196 = 1,136,196/x
  3. Step 3: Cross multiply
    758,784x = 1,136,196 × 1,136,196
  4. Step 4: Simplify right side
    758,784x = 1,290,941,350,416
  5. Step 5: Solve for x
    x = 1,290,941,350,416/758,784
  6. Step 6: Final answer
    x = 1,701,329.17

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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.