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Finding the Third Proportional to 706,839,748 and 1,138,907,128

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Solution

The third proportional to 706,839,748 and 1,138,907,128 is: 1,835,082,774.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,839,748 : 1,138,907,128 = 1,138,907,128 : x
  2. Step 2: Convert to fraction form
    706,839,748/1,138,907,128 = 1,138,907,128/x
  3. Step 3: Cross multiply
    706,839,748x = 1,138,907,128 × 1,138,907,128
  4. Step 4: Simplify right side
    706,839,748x = 1,297,109,446,209,208,320
  5. Step 5: Solve for x
    x = 1,297,109,446,209,208,320/706,839,748
  6. Step 6: Final answer
    x = 1,835,082,774.96

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.