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Finding the Third Proportional to 471,046 and 1,020,380

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Solution

The third proportional to 471,046 and 1,020,380 is: 2,210,347.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,046 : 1,020,380 = 1,020,380 : x
  2. Step 2: Convert to fraction form
    471,046/1,020,380 = 1,020,380/x
  3. Step 3: Cross multiply
    471,046x = 1,020,380 × 1,020,380
  4. Step 4: Simplify right side
    471,046x = 1,041,175,344,400
  5. Step 5: Solve for x
    x = 1,041,175,344,400/471,046
  6. Step 6: Final answer
    x = 2,210,347.49

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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.