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Finding the Third Proportional to 700,178 and 1,536,508

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Solution

The third proportional to 700,178 and 1,536,508 is: 3,371,795.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,178 : 1,536,508 = 1,536,508 : x
  2. Step 2: Convert to fraction form
    700,178/1,536,508 = 1,536,508/x
  3. Step 3: Cross multiply
    700,178x = 1,536,508 × 1,536,508
  4. Step 4: Simplify right side
    700,178x = 2,360,856,834,064
  5. Step 5: Solve for x
    x = 2,360,856,834,064/700,178
  6. Step 6: Final answer
    x = 3,371,795.22

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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.