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Finding the Third Proportional to 1,003,468 and 1,430,461

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Solution

The third proportional to 1,003,468 and 1,430,461 is: 2,039,146.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003,468 : 1,430,461 = 1,430,461 : x
  2. Step 2: Convert to fraction form
    1,003,468/1,430,461 = 1,430,461/x
  3. Step 3: Cross multiply
    1,003,468x = 1,430,461 × 1,430,461
  4. Step 4: Simplify right side
    1,003,468x = 2,046,218,672,521
  5. Step 5: Solve for x
    x = 2,046,218,672,521/1,003,468
  6. Step 6: Final answer
    x = 2,039,146.91

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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.