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Finding the Third Proportional to 1,935,915.19 and 4,174,917.19

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Solution

The third proportional to 1,935,915.19 and 4,174,917.19 is: 9,003,459.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935,915.19 : 4,174,917.19 = 4,174,917.19 : x
  2. Step 2: Convert to fraction form
    1,935,915.19/4,174,917.19 = 4,174,917.19/x
  3. Step 3: Cross multiply
    1,935,915.19x = 4,174,917.19 × 4,174,917.19
  4. Step 4: Simplify right side
    1,935,915.19x = 17,429,933,522,482.91
  5. Step 5: Solve for x
    x = 17,429,933,522,482.91/1,935,915.19
  6. Step 6: Final answer
    x = 9,003,459.26

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Why These Related Problems?

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