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Finding the Third Proportional to 907,290 and 1,921,986

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Solution

The third proportional to 907,290 and 1,921,986 is: 4,071,498.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,290 : 1,921,986 = 1,921,986 : x
  2. Step 2: Convert to fraction form
    907,290/1,921,986 = 1,921,986/x
  3. Step 3: Cross multiply
    907,290x = 1,921,986 × 1,921,986
  4. Step 4: Simplify right side
    907,290x = 3,694,030,184,196
  5. Step 5: Solve for x
    x = 3,694,030,184,196/907,290
  6. Step 6: Final answer
    x = 4,071,498.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.