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Finding the Third Proportional to 724,246 and 1,064,172

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Solution

The third proportional to 724,246 and 1,064,172 is: 1,563,642.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,246 : 1,064,172 = 1,064,172 : x
  2. Step 2: Convert to fraction form
    724,246/1,064,172 = 1,064,172/x
  3. Step 3: Cross multiply
    724,246x = 1,064,172 × 1,064,172
  4. Step 4: Simplify right side
    724,246x = 1,132,462,045,584
  5. Step 5: Solve for x
    x = 1,132,462,045,584/724,246
  6. Step 6: Final answer
    x = 1,563,642.80

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.