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Finding the Third Proportional to 466,582 and 1,004,890

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Solution

The third proportional to 466,582 and 1,004,890 is: 2,164,258.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,582 : 1,004,890 = 1,004,890 : x
  2. Step 2: Convert to fraction form
    466,582/1,004,890 = 1,004,890/x
  3. Step 3: Cross multiply
    466,582x = 1,004,890 × 1,004,890
  4. Step 4: Simplify right side
    466,582x = 1,009,803,912,100
  5. Step 5: Solve for x
    x = 1,009,803,912,100/466,582
  6. Step 6: Final answer
    x = 2,164,258.18

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.