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Finding the Third Proportional to 2,938,974 and 4,539,409

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Solution

The third proportional to 2,938,974 and 4,539,409 is: 7,011,369.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938,974 : 4,539,409 = 4,539,409 : x
  2. Step 2: Convert to fraction form
    2,938,974/4,539,409 = 4,539,409/x
  3. Step 3: Cross multiply
    2,938,974x = 4,539,409 × 4,539,409
  4. Step 4: Simplify right side
    2,938,974x = 20,606,234,069,281
  5. Step 5: Solve for x
    x = 20,606,234,069,281/2,938,974
  6. Step 6: Final answer
    x = 7,011,369.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.