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Finding the Third Proportional to 749,704 and 1,645,310

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Solution

The third proportional to 749,704 and 1,645,310 is: 3,610,818.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,704 : 1,645,310 = 1,645,310 : x
  2. Step 2: Convert to fraction form
    749,704/1,645,310 = 1,645,310/x
  3. Step 3: Cross multiply
    749,704x = 1,645,310 × 1,645,310
  4. Step 4: Simplify right side
    749,704x = 2,707,044,996,100
  5. Step 5: Solve for x
    x = 2,707,044,996,100/749,704
  6. Step 6: Final answer
    x = 3,610,818.40

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Why These Related Problems?

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