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Finding the Third Proportional to 1,426,738 and 2,971,332

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Solution

The third proportional to 1,426,738 and 2,971,332 is: 6,188,111.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426,738 : 2,971,332 = 2,971,332 : x
  2. Step 2: Convert to fraction form
    1,426,738/2,971,332 = 2,971,332/x
  3. Step 3: Cross multiply
    1,426,738x = 2,971,332 × 2,971,332
  4. Step 4: Simplify right side
    1,426,738x = 8,828,813,854,224
  5. Step 5: Solve for x
    x = 8,828,813,854,224/1,426,738
  6. Step 6: Final answer
    x = 6,188,111.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.