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Finding the Third Proportional to 705,409 and 1,550,210

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Solution

The third proportional to 705,409 and 1,550,210 is: 3,406,748.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,409 : 1,550,210 = 1,550,210 : x
  2. Step 2: Convert to fraction form
    705,409/1,550,210 = 1,550,210/x
  3. Step 3: Cross multiply
    705,409x = 1,550,210 × 1,550,210
  4. Step 4: Simplify right side
    705,409x = 2,403,151,044,100
  5. Step 5: Solve for x
    x = 2,403,151,044,100/705,409
  6. Step 6: Final answer
    x = 3,406,748.49

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.