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Finding the Third Proportional to 656,458,784 and 1,039,485,864

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Solution

The third proportional to 656,458,784 and 1,039,485,864 is: 1,645,999,547.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,458,784 : 1,039,485,864 = 1,039,485,864 : x
  2. Step 2: Convert to fraction form
    656,458,784/1,039,485,864 = 1,039,485,864/x
  3. Step 3: Cross multiply
    656,458,784x = 1,039,485,864 × 1,039,485,864
  4. Step 4: Simplify right side
    656,458,784x = 1,080,530,861,455,826,432
  5. Step 5: Solve for x
    x = 1,080,530,861,455,826,432/656,458,784
  6. Step 6: Final answer
    x = 1,645,999,547.56

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.