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Finding the Third Proportional to 827,265 and 1,127,819

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Solution

The third proportional to 827,265 and 1,127,819 is: 1,537,567.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,265 : 1,127,819 = 1,127,819 : x
  2. Step 2: Convert to fraction form
    827,265/1,127,819 = 1,127,819/x
  3. Step 3: Cross multiply
    827,265x = 1,127,819 × 1,127,819
  4. Step 4: Simplify right side
    827,265x = 1,271,975,696,761
  5. Step 5: Solve for x
    x = 1,271,975,696,761/827,265
  6. Step 6: Final answer
    x = 1,537,567.40

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.