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Finding the Third Proportional to 637,006 and 1,386,403

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Solution

The third proportional to 637,006 and 1,386,403 is: 3,017,417.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,006 : 1,386,403 = 1,386,403 : x
  2. Step 2: Convert to fraction form
    637,006/1,386,403 = 1,386,403/x
  3. Step 3: Cross multiply
    637,006x = 1,386,403 × 1,386,403
  4. Step 4: Simplify right side
    637,006x = 1,922,113,278,409
  5. Step 5: Solve for x
    x = 1,922,113,278,409/637,006
  6. Step 6: Final answer
    x = 3,017,417.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.