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Finding the Third Proportional to 1,349,320 and 3,185,284

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Solution

The third proportional to 1,349,320 and 3,185,284 is: 7,519,368.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349,320 : 3,185,284 = 3,185,284 : x
  2. Step 2: Convert to fraction form
    1,349,320/3,185,284 = 3,185,284/x
  3. Step 3: Cross multiply
    1,349,320x = 3,185,284 × 3,185,284
  4. Step 4: Simplify right side
    1,349,320x = 10,146,034,160,656
  5. Step 5: Solve for x
    x = 10,146,034,160,656/1,349,320
  6. Step 6: Final answer
    x = 7,519,368.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.