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Finding the Third Proportional to 783,830 and 1,145,498

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Solution

The third proportional to 783,830 and 1,145,498 is: 1,674,043.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,830 : 1,145,498 = 1,145,498 : x
  2. Step 2: Convert to fraction form
    783,830/1,145,498 = 1,145,498/x
  3. Step 3: Cross multiply
    783,830x = 1,145,498 × 1,145,498
  4. Step 4: Simplify right side
    783,830x = 1,312,165,668,004
  5. Step 5: Solve for x
    x = 1,312,165,668,004/783,830
  6. Step 6: Final answer
    x = 1,674,043.69

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.