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Finding the Third Proportional to 714,906 and 1,048,302

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Solution

The third proportional to 714,906 and 1,048,302 is: 1,537,177.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,906 : 1,048,302 = 1,048,302 : x
  2. Step 2: Convert to fraction form
    714,906/1,048,302 = 1,048,302/x
  3. Step 3: Cross multiply
    714,906x = 1,048,302 × 1,048,302
  4. Step 4: Simplify right side
    714,906x = 1,098,937,083,204
  5. Step 5: Solve for x
    x = 1,098,937,083,204/714,906
  6. Step 6: Final answer
    x = 1,537,177.03

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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.