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Finding the Third Proportional to 623,226 and 1,377,237

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Solution

The third proportional to 623,226 and 1,377,237 is: 3,043,489.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,226 : 1,377,237 = 1,377,237 : x
  2. Step 2: Convert to fraction form
    623,226/1,377,237 = 1,377,237/x
  3. Step 3: Cross multiply
    623,226x = 1,377,237 × 1,377,237
  4. Step 4: Simplify right side
    623,226x = 1,896,781,754,169
  5. Step 5: Solve for x
    x = 1,896,781,754,169/623,226
  6. Step 6: Final answer
    x = 3,043,489.45

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.