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Finding the Third Proportional to 805,004 and 1,676,148

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Solution

The third proportional to 805,004 and 1,676,148 is: 3,490,010.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,004 : 1,676,148 = 1,676,148 : x
  2. Step 2: Convert to fraction form
    805,004/1,676,148 = 1,676,148/x
  3. Step 3: Cross multiply
    805,004x = 1,676,148 × 1,676,148
  4. Step 4: Simplify right side
    805,004x = 2,809,472,117,904
  5. Step 5: Solve for x
    x = 2,809,472,117,904/805,004
  6. Step 6: Final answer
    x = 3,490,010.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.