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Finding the Third Proportional to 468,345 and 1,015,428

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Solution

The third proportional to 468,345 and 1,015,428 is: 2,201,569.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,345 : 1,015,428 = 1,015,428 : x
  2. Step 2: Convert to fraction form
    468,345/1,015,428 = 1,015,428/x
  3. Step 3: Cross multiply
    468,345x = 1,015,428 × 1,015,428
  4. Step 4: Simplify right side
    468,345x = 1,031,094,023,184
  5. Step 5: Solve for x
    x = 1,031,094,023,184/468,345
  6. Step 6: Final answer
    x = 2,201,569.41

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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.