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Finding the Third Proportional to 849,006 and 1,261,948

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Solution

The third proportional to 849,006 and 1,261,948 is: 1,875,737.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,006 : 1,261,948 = 1,261,948 : x
  2. Step 2: Convert to fraction form
    849,006/1,261,948 = 1,261,948/x
  3. Step 3: Cross multiply
    849,006x = 1,261,948 × 1,261,948
  4. Step 4: Simplify right side
    849,006x = 1,592,512,754,704
  5. Step 5: Solve for x
    x = 1,592,512,754,704/849,006
  6. Step 6: Final answer
    x = 1,875,737.93

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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.