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Finding the Third Proportional to 1,128,458,656 and 1,742,997,408

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Solution

The third proportional to 1,128,458,656 and 1,742,997,408 is: 2,692,203,164.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128,458,656 : 1,742,997,408 = 1,742,997,408 : x
  2. Step 2: Convert to fraction form
    1,128,458,656/1,742,997,408 = 1,742,997,408/x
  3. Step 3: Cross multiply
    1,128,458,656x = 1,742,997,408 × 1,742,997,408
  4. Step 4: Simplify right side
    1,128,458,656x = 3,038,039,964,294,718,464
  5. Step 5: Solve for x
    x = 3,038,039,964,294,718,464/1,128,458,656
  6. Step 6: Final answer
    x = 2,692,203,164.15

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.