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Finding the Third Proportional to 700,506 and 1,068,255

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Solution

The third proportional to 700,506 and 1,068,255 is: 1,629,063.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,506 : 1,068,255 = 1,068,255 : x
  2. Step 2: Convert to fraction form
    700,506/1,068,255 = 1,068,255/x
  3. Step 3: Cross multiply
    700,506x = 1,068,255 × 1,068,255
  4. Step 4: Simplify right side
    700,506x = 1,141,168,745,025
  5. Step 5: Solve for x
    x = 1,141,168,745,025/700,506
  6. Step 6: Final answer
    x = 1,629,063.48

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.