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Finding the Third Proportional to 656,458,850 and 1,039,485,964

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Solution

The third proportional to 656,458,850 and 1,039,485,964 is: 1,645,999,698.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,458,850 : 1,039,485,964 = 1,039,485,964 : x
  2. Step 2: Convert to fraction form
    656,458,850/1,039,485,964 = 1,039,485,964/x
  3. Step 3: Cross multiply
    656,458,850x = 1,039,485,964 × 1,039,485,964
  4. Step 4: Simplify right side
    656,458,850x = 1,080,531,069,353,009,280
  5. Step 5: Solve for x
    x = 1,080,531,069,353,009,280/656,458,850
  6. Step 6: Final answer
    x = 1,645,999,698.77

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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.