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Finding the Third Proportional to 700,128 and 1,535,808

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Solution

The third proportional to 700,128 and 1,535,808 is: 3,368,964.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,128 : 1,535,808 = 1,535,808 : x
  2. Step 2: Convert to fraction form
    700,128/1,535,808 = 1,535,808/x
  3. Step 3: Cross multiply
    700,128x = 1,535,808 × 1,535,808
  4. Step 4: Simplify right side
    700,128x = 2,358,706,212,864
  5. Step 5: Solve for x
    x = 2,358,706,212,864/700,128
  6. Step 6: Final answer
    x = 3,368,964.26

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.