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Finding the Third Proportional to 714,920 and 1,048,323

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Solution

The third proportional to 714,920 and 1,048,323 is: 1,537,208.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,920 : 1,048,323 = 1,048,323 : x
  2. Step 2: Convert to fraction form
    714,920/1,048,323 = 1,048,323/x
  3. Step 3: Cross multiply
    714,920x = 1,048,323 × 1,048,323
  4. Step 4: Simplify right side
    714,920x = 1,098,981,112,329
  5. Step 5: Solve for x
    x = 1,098,981,112,329/714,920
  6. Step 6: Final answer
    x = 1,537,208.52

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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.