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Finding the Third Proportional to 974,798 and 1,454,083

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Solution

The third proportional to 974,798 and 1,454,083 is: 2,169,021.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,798 : 1,454,083 = 1,454,083 : x
  2. Step 2: Convert to fraction form
    974,798/1,454,083 = 1,454,083/x
  3. Step 3: Cross multiply
    974,798x = 1,454,083 × 1,454,083
  4. Step 4: Simplify right side
    974,798x = 2,114,357,370,889
  5. Step 5: Solve for x
    x = 2,114,357,370,889/974,798
  6. Step 6: Final answer
    x = 2,169,021.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.