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Finding the Third Proportional to 683,470 and 1,596,894

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Solution

The third proportional to 683,470 and 1,596,894 is: 3,731,064.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,470 : 1,596,894 = 1,596,894 : x
  2. Step 2: Convert to fraction form
    683,470/1,596,894 = 1,596,894/x
  3. Step 3: Cross multiply
    683,470x = 1,596,894 × 1,596,894
  4. Step 4: Simplify right side
    683,470x = 2,550,070,447,236
  5. Step 5: Solve for x
    x = 2,550,070,447,236/683,470
  6. Step 6: Final answer
    x = 3,731,064.20

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.