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Finding the Third Proportional to 1,175,814 and 1,718,347.50

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Solution

The third proportional to 1,175,814 and 1,718,347.50 is: 2,511,211.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175,814 : 1,718,347.50 = 1,718,347.50 : x
  2. Step 2: Convert to fraction form
    1,175,814/1,718,347.50 = 1,718,347.50/x
  3. Step 3: Cross multiply
    1,175,814x = 1,718,347.50 × 1,718,347.50
  4. Step 4: Simplify right side
    1,175,814x = 2,952,718,130,756.25
  5. Step 5: Solve for x
    x = 2,952,718,130,756.25/1,175,814
  6. Step 6: Final answer
    x = 2,511,211.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.