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Finding the Third Proportional to 1,543,306 and 3,385,421

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Solution

The third proportional to 1,543,306 and 3,385,421 is: 7,426,314.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543,306 : 3,385,421 = 3,385,421 : x
  2. Step 2: Convert to fraction form
    1,543,306/3,385,421 = 3,385,421/x
  3. Step 3: Cross multiply
    1,543,306x = 3,385,421 × 3,385,421
  4. Step 4: Simplify right side
    1,543,306x = 11,461,075,347,241
  5. Step 5: Solve for x
    x = 11,461,075,347,241/1,543,306
  6. Step 6: Final answer
    x = 7,426,314.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.