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Finding the Third Proportional to 657,346 and 1,015,044

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Solution

The third proportional to 657,346 and 1,015,044 is: 1,567,385.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,346 : 1,015,044 = 1,015,044 : x
  2. Step 2: Convert to fraction form
    657,346/1,015,044 = 1,015,044/x
  3. Step 3: Cross multiply
    657,346x = 1,015,044 × 1,015,044
  4. Step 4: Simplify right side
    657,346x = 1,030,314,321,936
  5. Step 5: Solve for x
    x = 1,030,314,321,936/657,346
  6. Step 6: Final answer
    x = 1,567,385.09

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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.