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Finding the Third Proportional to 1,746,417 and 3,758,411

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Solution

The third proportional to 1,746,417 and 3,758,411 is: 8,088,362.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746,417 : 3,758,411 = 3,758,411 : x
  2. Step 2: Convert to fraction form
    1,746,417/3,758,411 = 3,758,411/x
  3. Step 3: Cross multiply
    1,746,417x = 3,758,411 × 3,758,411
  4. Step 4: Simplify right side
    1,746,417x = 14,125,653,244,921
  5. Step 5: Solve for x
    x = 14,125,653,244,921/1,746,417
  6. Step 6: Final answer
    x = 8,088,362.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.