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Finding the Third Proportional to 472,803 and 1,024,362

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Solution

The third proportional to 472,803 and 1,024,362 is: 2,219,354.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,803 : 1,024,362 = 1,024,362 : x
  2. Step 2: Convert to fraction form
    472,803/1,024,362 = 1,024,362/x
  3. Step 3: Cross multiply
    472,803x = 1,024,362 × 1,024,362
  4. Step 4: Simplify right side
    472,803x = 1,049,317,507,044
  5. Step 5: Solve for x
    x = 1,049,317,507,044/472,803
  6. Step 6: Final answer
    x = 2,219,354.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.