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Finding the Third Proportional to 783,440 and 1,714,492

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Solution

The third proportional to 783,440 and 1,714,492 is: 3,752,020.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,440 : 1,714,492 = 1,714,492 : x
  2. Step 2: Convert to fraction form
    783,440/1,714,492 = 1,714,492/x
  3. Step 3: Cross multiply
    783,440x = 1,714,492 × 1,714,492
  4. Step 4: Simplify right side
    783,440x = 2,939,482,818,064
  5. Step 5: Solve for x
    x = 2,939,482,818,064/783,440
  6. Step 6: Final answer
    x = 3,752,020.34

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.