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Finding the Third Proportional to 1,106,346 and 1,708,653

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Solution

The third proportional to 1,106,346 and 1,708,653 is: 2,638,862.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106,346 : 1,708,653 = 1,708,653 : x
  2. Step 2: Convert to fraction form
    1,106,346/1,708,653 = 1,708,653/x
  3. Step 3: Cross multiply
    1,106,346x = 1,708,653 × 1,708,653
  4. Step 4: Simplify right side
    1,106,346x = 2,919,495,074,409
  5. Step 5: Solve for x
    x = 2,919,495,074,409/1,106,346
  6. Step 6: Final answer
    x = 2,638,862.59

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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.