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Finding the Third Proportional to 856,970 and 1,258,939

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Solution

The third proportional to 856,970 and 1,258,939 is: 1,849,454.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,970 : 1,258,939 = 1,258,939 : x
  2. Step 2: Convert to fraction form
    856,970/1,258,939 = 1,258,939/x
  3. Step 3: Cross multiply
    856,970x = 1,258,939 × 1,258,939
  4. Step 4: Simplify right side
    856,970x = 1,584,927,405,721
  5. Step 5: Solve for x
    x = 1,584,927,405,721/856,970
  6. Step 6: Final answer
    x = 1,849,454.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.