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Finding the Third Proportional to 1,762,596 and 2,378,160

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Solution

The third proportional to 1,762,596 and 2,378,160 is: 3,208,701.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762,596 : 2,378,160 = 2,378,160 : x
  2. Step 2: Convert to fraction form
    1,762,596/2,378,160 = 2,378,160/x
  3. Step 3: Cross multiply
    1,762,596x = 2,378,160 × 2,378,160
  4. Step 4: Simplify right side
    1,762,596x = 5,655,644,985,600
  5. Step 5: Solve for x
    x = 5,655,644,985,600/1,762,596
  6. Step 6: Final answer
    x = 3,208,701.82

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.