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Finding the Third Proportional to 2,896,572 and 4,051,506

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Solution

The third proportional to 2,896,572 and 4,051,506 is: 5,666,940.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896,572 : 4,051,506 = 4,051,506 : x
  2. Step 2: Convert to fraction form
    2,896,572/4,051,506 = 4,051,506/x
  3. Step 3: Cross multiply
    2,896,572x = 4,051,506 × 4,051,506
  4. Step 4: Simplify right side
    2,896,572x = 16,414,700,868,036
  5. Step 5: Solve for x
    x = 16,414,700,868,036/2,896,572
  6. Step 6: Final answer
    x = 5,666,940.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.