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Finding the Third Proportional to 702,854 and 1,070,823

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Solution

The third proportional to 702,854 and 1,070,823 is: 1,631,436.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,854 : 1,070,823 = 1,070,823 : x
  2. Step 2: Convert to fraction form
    702,854/1,070,823 = 1,070,823/x
  3. Step 3: Cross multiply
    702,854x = 1,070,823 × 1,070,823
  4. Step 4: Simplify right side
    702,854x = 1,146,661,897,329
  5. Step 5: Solve for x
    x = 1,146,661,897,329/702,854
  6. Step 6: Final answer
    x = 1,631,436.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.