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Finding the Third Proportional to 1,604,240 and 3,425,020

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Solution

The third proportional to 1,604,240 and 3,425,020 is: 7,312,348.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604,240 : 3,425,020 = 3,425,020 : x
  2. Step 2: Convert to fraction form
    1,604,240/3,425,020 = 3,425,020/x
  3. Step 3: Cross multiply
    1,604,240x = 3,425,020 × 3,425,020
  4. Step 4: Simplify right side
    1,604,240x = 11,730,762,000,400
  5. Step 5: Solve for x
    x = 11,730,762,000,400/1,604,240
  6. Step 6: Final answer
    x = 7,312,348.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.