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Finding the Third Proportional to 964,428 and 2,074,017

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Solution

The third proportional to 964,428 and 2,074,017 is: 4,460,204.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,428 : 2,074,017 = 2,074,017 : x
  2. Step 2: Convert to fraction form
    964,428/2,074,017 = 2,074,017/x
  3. Step 3: Cross multiply
    964,428x = 2,074,017 × 2,074,017
  4. Step 4: Simplify right side
    964,428x = 4,301,546,516,289
  5. Step 5: Solve for x
    x = 4,301,546,516,289/964,428
  6. Step 6: Final answer
    x = 4,460,204.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.