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Finding the Third Proportional to 1,746,407.25 and 3,758,391

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Solution

The third proportional to 1,746,407.25 and 3,758,391 is: 8,088,321.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746,407.25 : 3,758,391 = 3,758,391 : x
  2. Step 2: Convert to fraction form
    1,746,407.25/3,758,391 = 3,758,391/x
  3. Step 3: Cross multiply
    1,746,407.25x = 3,758,391 × 3,758,391
  4. Step 4: Simplify right side
    1,746,407.25x = 14,125,502,908,881
  5. Step 5: Solve for x
    x = 14,125,502,908,881/1,746,407.25
  6. Step 6: Final answer
    x = 8,088,321.27

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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.