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Finding the Third Proportional to 713,455 and 1,104,241

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Solution

The third proportional to 713,455 and 1,104,241 is: 1,709,075.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,455 : 1,104,241 = 1,104,241 : x
  2. Step 2: Convert to fraction form
    713,455/1,104,241 = 1,104,241/x
  3. Step 3: Cross multiply
    713,455x = 1,104,241 × 1,104,241
  4. Step 4: Simplify right side
    713,455x = 1,219,348,186,081
  5. Step 5: Solve for x
    x = 1,219,348,186,081/713,455
  6. Step 6: Final answer
    x = 1,709,075.11

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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.