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Finding the Third Proportional to 1,442,946 and 2,284,746

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Solution

The third proportional to 1,442,946 and 2,284,746 is: 3,617,643.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442,946 : 2,284,746 = 2,284,746 : x
  2. Step 2: Convert to fraction form
    1,442,946/2,284,746 = 2,284,746/x
  3. Step 3: Cross multiply
    1,442,946x = 2,284,746 × 2,284,746
  4. Step 4: Simplify right side
    1,442,946x = 5,220,064,284,516
  5. Step 5: Solve for x
    x = 5,220,064,284,516/1,442,946
  6. Step 6: Final answer
    x = 3,617,643.55

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.