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Finding the Third Proportional to 931,902 and 2,038,275

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Solution

The third proportional to 931,902 and 2,038,275 is: 4,458,156.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,902 : 2,038,275 = 2,038,275 : x
  2. Step 2: Convert to fraction form
    931,902/2,038,275 = 2,038,275/x
  3. Step 3: Cross multiply
    931,902x = 2,038,275 × 2,038,275
  4. Step 4: Simplify right side
    931,902x = 4,154,564,975,625
  5. Step 5: Solve for x
    x = 4,154,564,975,625/931,902
  6. Step 6: Final answer
    x = 4,458,156.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.