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Finding the Third Proportional to 472,312 and 1,019,251

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Solution

The third proportional to 472,312 and 1,019,251 is: 2,199,547.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,312 : 1,019,251 = 1,019,251 : x
  2. Step 2: Convert to fraction form
    472,312/1,019,251 = 1,019,251/x
  3. Step 3: Cross multiply
    472,312x = 1,019,251 × 1,019,251
  4. Step 4: Simplify right side
    472,312x = 1,038,872,601,001
  5. Step 5: Solve for x
    x = 1,038,872,601,001/472,312
  6. Step 6: Final answer
    x = 2,199,547.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.