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Finding the Third Proportional to 903,816 and 1,284,916.50

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Solution

The third proportional to 903,816 and 1,284,916.50 is: 1,826,710.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,816 : 1,284,916.50 = 1,284,916.50 : x
  2. Step 2: Convert to fraction form
    903,816/1,284,916.50 = 1,284,916.50/x
  3. Step 3: Cross multiply
    903,816x = 1,284,916.50 × 1,284,916.50
  4. Step 4: Simplify right side
    903,816x = 1,651,010,411,972.25
  5. Step 5: Solve for x
    x = 1,651,010,411,972.25/903,816
  6. Step 6: Final answer
    x = 1,826,710.76

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.