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Finding the Third Proportional to 887,816 and 1,442,411

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Solution

The third proportional to 887,816 and 1,442,411 is: 2,343,446.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    887,816 : 1,442,411 = 1,442,411 : x
  2. Step 2: Convert to fraction form
    887,816/1,442,411 = 1,442,411/x
  3. Step 3: Cross multiply
    887,816x = 1,442,411 × 1,442,411
  4. Step 4: Simplify right side
    887,816x = 2,080,549,492,921
  5. Step 5: Solve for x
    x = 2,080,549,492,921/887,816
  6. Step 6: Final answer
    x = 2,343,446.72

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.