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Finding the Third Proportional to 1,003,476 and 1,430,470

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Solution

The third proportional to 1,003,476 and 1,430,470 is: 2,039,156.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003,476 : 1,430,470 = 1,430,470 : x
  2. Step 2: Convert to fraction form
    1,003,476/1,430,470 = 1,430,470/x
  3. Step 3: Cross multiply
    1,003,476x = 1,430,470 × 1,430,470
  4. Step 4: Simplify right side
    1,003,476x = 2,046,244,420,900
  5. Step 5: Solve for x
    x = 2,046,244,420,900/1,003,476
  6. Step 6: Final answer
    x = 2,039,156.31

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.