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Finding the Third Proportional to 991,022 and 1,495,822

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Solution

The third proportional to 991,022 and 1,495,822 is: 2,257,753.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    991,022 : 1,495,822 = 1,495,822 : x
  2. Step 2: Convert to fraction form
    991,022/1,495,822 = 1,495,822/x
  3. Step 3: Cross multiply
    991,022x = 1,495,822 × 1,495,822
  4. Step 4: Simplify right side
    991,022x = 2,237,483,455,684
  5. Step 5: Solve for x
    x = 2,237,483,455,684/991,022
  6. Step 6: Final answer
    x = 2,257,753.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.