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Finding the Third Proportional to 610,386 and 1,370,883

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Solution

The third proportional to 610,386 and 1,370,883 is: 3,078,904.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,386 : 1,370,883 = 1,370,883 : x
  2. Step 2: Convert to fraction form
    610,386/1,370,883 = 1,370,883/x
  3. Step 3: Cross multiply
    610,386x = 1,370,883 × 1,370,883
  4. Step 4: Simplify right side
    610,386x = 1,879,320,199,689
  5. Step 5: Solve for x
    x = 1,879,320,199,689/610,386
  6. Step 6: Final answer
    x = 3,078,904.50

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.