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Finding the Third Proportional to 1,402,596 and 2,051,406

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Solution

The third proportional to 1,402,596 and 2,051,406 is: 3,000,341.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402,596 : 2,051,406 = 2,051,406 : x
  2. Step 2: Convert to fraction form
    1,402,596/2,051,406 = 2,051,406/x
  3. Step 3: Cross multiply
    1,402,596x = 2,051,406 × 2,051,406
  4. Step 4: Simplify right side
    1,402,596x = 4,208,266,576,836
  5. Step 5: Solve for x
    x = 4,208,266,576,836/1,402,596
  6. Step 6: Final answer
    x = 3,000,341.21

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.