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Finding the Third Proportional to 1,481,537 and 3,232,294

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Solution

The third proportional to 1,481,537 and 3,232,294 is: 7,051,949.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481,537 : 3,232,294 = 3,232,294 : x
  2. Step 2: Convert to fraction form
    1,481,537/3,232,294 = 3,232,294/x
  3. Step 3: Cross multiply
    1,481,537x = 3,232,294 × 3,232,294
  4. Step 4: Simplify right side
    1,481,537x = 10,447,724,502,436
  5. Step 5: Solve for x
    x = 10,447,724,502,436/1,481,537
  6. Step 6: Final answer
    x = 7,051,949.77

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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.