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Finding the Third Proportional to 1,258,588.13 and 1,996,085.53

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Solution

The third proportional to 1,258,588.13 and 1,996,085.53 is: 3,165,735.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258,588.13 : 1,996,085.53 = 1,996,085.53 : x
  2. Step 2: Convert to fraction form
    1,258,588.13/1,996,085.53 = 1,996,085.53/x
  3. Step 3: Cross multiply
    1,258,588.13x = 1,996,085.53 × 1,996,085.53
  4. Step 4: Simplify right side
    1,258,588.13x = 3,984,357,448,065.60
  5. Step 5: Solve for x
    x = 3,984,357,448,065.60/1,258,588.13
  6. Step 6: Final answer
    x = 3,165,735.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.