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Finding the Third Proportional to 797,136 and 1,184,352

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Solution

The third proportional to 797,136 and 1,184,352 is: 1,759,661.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,136 : 1,184,352 = 1,184,352 : x
  2. Step 2: Convert to fraction form
    797,136/1,184,352 = 1,184,352/x
  3. Step 3: Cross multiply
    797,136x = 1,184,352 × 1,184,352
  4. Step 4: Simplify right side
    797,136x = 1,402,689,659,904
  5. Step 5: Solve for x
    x = 1,402,689,659,904/797,136
  6. Step 6: Final answer
    x = 1,759,661.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.