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Finding the Third Proportional to 688,169,141 and 1,019,353,690.50

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Solution

The third proportional to 688,169,141 and 1,019,353,690.50 is: 1,509,922,320.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,169,141 : 1,019,353,690.50 = 1,019,353,690.50 : x
  2. Step 2: Convert to fraction form
    688,169,141/1,019,353,690.50 = 1,019,353,690.50/x
  3. Step 3: Cross multiply
    688,169,141x = 1,019,353,690.50 × 1,019,353,690.50
  4. Step 4: Simplify right side
    688,169,141x = 1,039,081,946,335,969,792
  5. Step 5: Solve for x
    x = 1,039,081,946,335,969,792/688,169,141
  6. Step 6: Final answer
    x = 1,509,922,320.59

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.