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Finding the Third Proportional to 992,964 and 2,121,480

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Solution

The third proportional to 992,964 and 2,121,480 is: 4,532,568.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    992,964 : 2,121,480 = 2,121,480 : x
  2. Step 2: Convert to fraction form
    992,964/2,121,480 = 2,121,480/x
  3. Step 3: Cross multiply
    992,964x = 2,121,480 × 2,121,480
  4. Step 4: Simplify right side
    992,964x = 4,500,677,390,400
  5. Step 5: Solve for x
    x = 4,500,677,390,400/992,964
  6. Step 6: Final answer
    x = 4,532,568.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.