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Finding the Third Proportional to 610,904 and 898,048

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Solution

The third proportional to 610,904 and 898,048 is: 1,320,158.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,904 : 898,048 = 898,048 : x
  2. Step 2: Convert to fraction form
    610,904/898,048 = 898,048/x
  3. Step 3: Cross multiply
    610,904x = 898,048 × 898,048
  4. Step 4: Simplify right side
    610,904x = 806,490,210,304
  5. Step 5: Solve for x
    x = 806,490,210,304/610,904
  6. Step 6: Final answer
    x = 1,320,158.67

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.