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Finding the Third Proportional to 724,320 and 1,064,628

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Solution

The third proportional to 724,320 and 1,064,628 is: 1,564,823.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,320 : 1,064,628 = 1,064,628 : x
  2. Step 2: Convert to fraction form
    724,320/1,064,628 = 1,064,628/x
  3. Step 3: Cross multiply
    724,320x = 1,064,628 × 1,064,628
  4. Step 4: Simplify right side
    724,320x = 1,133,432,778,384
  5. Step 5: Solve for x
    x = 1,133,432,778,384/724,320
  6. Step 6: Final answer
    x = 1,564,823.25

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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.