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Finding the Third Proportional to 692,028 and 1,497,747

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Solution

The third proportional to 692,028 and 1,497,747 is: 3,241,553.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,028 : 1,497,747 = 1,497,747 : x
  2. Step 2: Convert to fraction form
    692,028/1,497,747 = 1,497,747/x
  3. Step 3: Cross multiply
    692,028x = 1,497,747 × 1,497,747
  4. Step 4: Simplify right side
    692,028x = 2,243,246,076,009
  5. Step 5: Solve for x
    x = 2,243,246,076,009/692,028
  6. Step 6: Final answer
    x = 3,241,553.92

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.