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Finding the Third Proportional to 1,531,822 and 2,146,574

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Solution

The third proportional to 1,531,822 and 2,146,574 is: 3,008,038.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531,822 : 2,146,574 = 2,146,574 : x
  2. Step 2: Convert to fraction form
    1,531,822/2,146,574 = 2,146,574/x
  3. Step 3: Cross multiply
    1,531,822x = 2,146,574 × 2,146,574
  4. Step 4: Simplify right side
    1,531,822x = 4,607,779,937,476
  5. Step 5: Solve for x
    x = 4,607,779,937,476/1,531,822
  6. Step 6: Final answer
    x = 3,008,038.75

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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.