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Finding the Third Proportional to 1,429,838 and 2,096,643

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Solution

The third proportional to 1,429,838 and 2,096,643 is: 3,074,412.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,838 : 2,096,643 = 2,096,643 : x
  2. Step 2: Convert to fraction form
    1,429,838/2,096,643 = 2,096,643/x
  3. Step 3: Cross multiply
    1,429,838x = 2,096,643 × 2,096,643
  4. Step 4: Simplify right side
    1,429,838x = 4,395,911,869,449
  5. Step 5: Solve for x
    x = 4,395,911,869,449/1,429,838
  6. Step 6: Final answer
    x = 3,074,412.53

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.