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Finding the Third Proportional to 713,436.19 and 1,104,215.63

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Solution

The third proportional to 713,436.19 and 1,104,215.63 is: 1,709,041.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,436.19 : 1,104,215.63 = 1,104,215.63 : x
  2. Step 2: Convert to fraction form
    713,436.19/1,104,215.63 = 1,104,215.63/x
  3. Step 3: Cross multiply
    713,436.19x = 1,104,215.63 × 1,104,215.63
  4. Step 4: Simplify right side
    713,436.19x = 1,219,292,146,494.14
  5. Step 5: Solve for x
    x = 1,219,292,146,494.14/713,436.19
  6. Step 6: Final answer
    x = 1,709,041.63

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