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Finding the Third Proportional to 662,407 and 1,429,729.50

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Solution

The third proportional to 662,407 and 1,429,729.50 is: 3,085,907.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,407 : 1,429,729.50 = 1,429,729.50 : x
  2. Step 2: Convert to fraction form
    662,407/1,429,729.50 = 1,429,729.50/x
  3. Step 3: Cross multiply
    662,407x = 1,429,729.50 × 1,429,729.50
  4. Step 4: Simplify right side
    662,407x = 2,044,126,443,170.25
  5. Step 5: Solve for x
    x = 2,044,126,443,170.25/662,407
  6. Step 6: Final answer
    x = 3,085,907.07

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