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Finding the Third Proportional to 709,860 and 1,537,752

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Solution

The third proportional to 709,860 and 1,537,752 is: 3,331,193.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,860 : 1,537,752 = 1,537,752 : x
  2. Step 2: Convert to fraction form
    709,860/1,537,752 = 1,537,752/x
  3. Step 3: Cross multiply
    709,860x = 1,537,752 × 1,537,752
  4. Step 4: Simplify right side
    709,860x = 2,364,681,213,504
  5. Step 5: Solve for x
    x = 2,364,681,213,504/709,860
  6. Step 6: Final answer
    x = 3,331,193.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.