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Finding the Third Proportional to 736,070 and 1,577,068

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Solution

The third proportional to 736,070 and 1,577,068 is: 3,378,949.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,070 : 1,577,068 = 1,577,068 : x
  2. Step 2: Convert to fraction form
    736,070/1,577,068 = 1,577,068/x
  3. Step 3: Cross multiply
    736,070x = 1,577,068 × 1,577,068
  4. Step 4: Simplify right side
    736,070x = 2,487,143,476,624
  5. Step 5: Solve for x
    x = 2,487,143,476,624/736,070
  6. Step 6: Final answer
    x = 3,378,949.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.