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Finding the Third Proportional to 1,849,142 and 2,934,058

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Solution

The third proportional to 1,849,142 and 2,934,058 is: 4,655,508.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849,142 : 2,934,058 = 2,934,058 : x
  2. Step 2: Convert to fraction form
    1,849,142/2,934,058 = 2,934,058/x
  3. Step 3: Cross multiply
    1,849,142x = 2,934,058 × 2,934,058
  4. Step 4: Simplify right side
    1,849,142x = 8,608,696,347,364
  5. Step 5: Solve for x
    x = 8,608,696,347,364/1,849,142
  6. Step 6: Final answer
    x = 4,655,508.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.