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Finding the Third Proportional to 747,236 and 1,547,644

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Solution

The third proportional to 747,236 and 1,547,644 is: 3,205,415.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,236 : 1,547,644 = 1,547,644 : x
  2. Step 2: Convert to fraction form
    747,236/1,547,644 = 1,547,644/x
  3. Step 3: Cross multiply
    747,236x = 1,547,644 × 1,547,644
  4. Step 4: Simplify right side
    747,236x = 2,395,201,950,736
  5. Step 5: Solve for x
    x = 2,395,201,950,736/747,236
  6. Step 6: Final answer
    x = 3,205,415.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.