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Finding the Third Proportional to 931,901 and 2,038,273

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Solution

The third proportional to 931,901 and 2,038,273 is: 4,458,152.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,901 : 2,038,273 = 2,038,273 : x
  2. Step 2: Convert to fraction form
    931,901/2,038,273 = 2,038,273/x
  3. Step 3: Cross multiply
    931,901x = 2,038,273 × 2,038,273
  4. Step 4: Simplify right side
    931,901x = 4,154,556,822,529
  5. Step 5: Solve for x
    x = 4,154,556,822,529/931,901
  6. Step 6: Final answer
    x = 4,458,152.55

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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.