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Finding the Third Proportional to 702,156 and 1,537,656

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Solution

The third proportional to 702,156 and 1,537,656 is: 3,367,322.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,156 : 1,537,656 = 1,537,656 : x
  2. Step 2: Convert to fraction form
    702,156/1,537,656 = 1,537,656/x
  3. Step 3: Cross multiply
    702,156x = 1,537,656 × 1,537,656
  4. Step 4: Simplify right side
    702,156x = 2,364,385,974,336
  5. Step 5: Solve for x
    x = 2,364,385,974,336/702,156
  6. Step 6: Final answer
    x = 3,367,322.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.