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Finding the Third Proportional to 857,004 and 1,636,248

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Solution

The third proportional to 857,004 and 1,636,248 is: 3,124,031.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,004 : 1,636,248 = 1,636,248 : x
  2. Step 2: Convert to fraction form
    857,004/1,636,248 = 1,636,248/x
  3. Step 3: Cross multiply
    857,004x = 1,636,248 × 1,636,248
  4. Step 4: Simplify right side
    857,004x = 2,677,307,517,504
  5. Step 5: Solve for x
    x = 2,677,307,517,504/857,004
  6. Step 6: Final answer
    x = 3,124,031.53

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.