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Finding the Third Proportional to 546,312 and 1,192,248

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Solution

The third proportional to 546,312 and 1,192,248 is: 2,601,911.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,312 : 1,192,248 = 1,192,248 : x
  2. Step 2: Convert to fraction form
    546,312/1,192,248 = 1,192,248/x
  3. Step 3: Cross multiply
    546,312x = 1,192,248 × 1,192,248
  4. Step 4: Simplify right side
    546,312x = 1,421,455,293,504
  5. Step 5: Solve for x
    x = 1,421,455,293,504/546,312
  6. Step 6: Final answer
    x = 2,601,911.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.