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Finding the Third Proportional to 604,257 and 1,316,361

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Solution

The third proportional to 604,257 and 1,316,361 is: 2,867,664.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,257 : 1,316,361 = 1,316,361 : x
  2. Step 2: Convert to fraction form
    604,257/1,316,361 = 1,316,361/x
  3. Step 3: Cross multiply
    604,257x = 1,316,361 × 1,316,361
  4. Step 4: Simplify right side
    604,257x = 1,732,806,282,321
  5. Step 5: Solve for x
    x = 1,732,806,282,321/604,257
  6. Step 6: Final answer
    x = 2,867,664.39

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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.