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Finding the Third Proportional to 1,785,738 and 3,748,368

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Solution

The third proportional to 1,785,738 and 3,748,368 is: 7,868,042.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785,738 : 3,748,368 = 3,748,368 : x
  2. Step 2: Convert to fraction form
    1,785,738/3,748,368 = 3,748,368/x
  3. Step 3: Cross multiply
    1,785,738x = 3,748,368 × 3,748,368
  4. Step 4: Simplify right side
    1,785,738x = 14,050,262,663,424
  5. Step 5: Solve for x
    x = 14,050,262,663,424/1,785,738
  6. Step 6: Final answer
    x = 7,868,042.60

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.