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Finding the Third Proportional to 953,480 and 1,413,726

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Solution

The third proportional to 953,480 and 1,413,726 is: 2,096,133.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    953,480 : 1,413,726 = 1,413,726 : x
  2. Step 2: Convert to fraction form
    953,480/1,413,726 = 1,413,726/x
  3. Step 3: Cross multiply
    953,480x = 1,413,726 × 1,413,726
  4. Step 4: Simplify right side
    953,480x = 1,998,621,203,076
  5. Step 5: Solve for x
    x = 1,998,621,203,076/953,480
  6. Step 6: Final answer
    x = 2,096,133.33

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.