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Finding the Third Proportional to 713,437 and 1,104,217

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Solution

The third proportional to 713,437 and 1,104,217 is: 1,709,043.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,437 : 1,104,217 = 1,104,217 : x
  2. Step 2: Convert to fraction form
    713,437/1,104,217 = 1,104,217/x
  3. Step 3: Cross multiply
    713,437x = 1,104,217 × 1,104,217
  4. Step 4: Simplify right side
    713,437x = 1,219,295,183,089
  5. Step 5: Solve for x
    x = 1,219,295,183,089/713,437
  6. Step 6: Final answer
    x = 1,709,043.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.