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Finding the Third Proportional to 478,025 and 1,049,362

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Solution

The third proportional to 478,025 and 1,049,362 is: 2,303,562.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,025 : 1,049,362 = 1,049,362 : x
  2. Step 2: Convert to fraction form
    478,025/1,049,362 = 1,049,362/x
  3. Step 3: Cross multiply
    478,025x = 1,049,362 × 1,049,362
  4. Step 4: Simplify right side
    478,025x = 1,101,160,607,044
  5. Step 5: Solve for x
    x = 1,101,160,607,044/478,025
  6. Step 6: Final answer
    x = 2,303,562.80

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.