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Finding the Third Proportional to 732,114 and 1,604,196

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Solution

The third proportional to 732,114 and 1,604,196 is: 3,515,087.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,114 : 1,604,196 = 1,604,196 : x
  2. Step 2: Convert to fraction form
    732,114/1,604,196 = 1,604,196/x
  3. Step 3: Cross multiply
    732,114x = 1,604,196 × 1,604,196
  4. Step 4: Simplify right side
    732,114x = 2,573,444,806,416
  5. Step 5: Solve for x
    x = 2,573,444,806,416/732,114
  6. Step 6: Final answer
    x = 3,515,087.55

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.