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Finding the Third Proportional to 656,838 and 989,956.50

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Solution

The third proportional to 656,838 and 989,956.50 is: 1,492,017.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,838 : 989,956.50 = 989,956.50 : x
  2. Step 2: Convert to fraction form
    656,838/989,956.50 = 989,956.50/x
  3. Step 3: Cross multiply
    656,838x = 989,956.50 × 989,956.50
  4. Step 4: Simplify right side
    656,838x = 980,013,871,892.25
  5. Step 5: Solve for x
    x = 980,013,871,892.25/656,838
  6. Step 6: Final answer
    x = 1,492,017.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.