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Finding the Third Proportional to 687,639 and 1,051,226

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Solution

The third proportional to 687,639 and 1,051,226 is: 1,607,058.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,639 : 1,051,226 = 1,051,226 : x
  2. Step 2: Convert to fraction form
    687,639/1,051,226 = 1,051,226/x
  3. Step 3: Cross multiply
    687,639x = 1,051,226 × 1,051,226
  4. Step 4: Simplify right side
    687,639x = 1,105,076,103,076
  5. Step 5: Solve for x
    x = 1,105,076,103,076/687,639
  6. Step 6: Final answer
    x = 1,607,058.50

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.