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Finding the Third Proportional to 680,301 and 1,484,937

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Solution

The third proportional to 680,301 and 1,484,937 is: 3,241,268.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,301 : 1,484,937 = 1,484,937 : x
  2. Step 2: Convert to fraction form
    680,301/1,484,937 = 1,484,937/x
  3. Step 3: Cross multiply
    680,301x = 1,484,937 × 1,484,937
  4. Step 4: Simplify right side
    680,301x = 2,205,037,893,969
  5. Step 5: Solve for x
    x = 2,205,037,893,969/680,301
  6. Step 6: Final answer
    x = 3,241,268.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.