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Finding the Third Proportional to 1,430,624 and 2,005,158

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Solution

The third proportional to 1,430,624 and 2,005,158 is: 2,810,423.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430,624 : 2,005,158 = 2,005,158 : x
  2. Step 2: Convert to fraction form
    1,430,624/2,005,158 = 2,005,158/x
  3. Step 3: Cross multiply
    1,430,624x = 2,005,158 × 2,005,158
  4. Step 4: Simplify right side
    1,430,624x = 4,020,658,604,964
  5. Step 5: Solve for x
    x = 4,020,658,604,964/1,430,624
  6. Step 6: Final answer
    x = 2,810,423.01

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