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Finding the Third Proportional to 802,962 and 1,244,043

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Solution

The third proportional to 802,962 and 1,244,043 is: 1,927,417.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,962 : 1,244,043 = 1,244,043 : x
  2. Step 2: Convert to fraction form
    802,962/1,244,043 = 1,244,043/x
  3. Step 3: Cross multiply
    802,962x = 1,244,043 × 1,244,043
  4. Step 4: Simplify right side
    802,962x = 1,547,642,985,849
  5. Step 5: Solve for x
    x = 1,547,642,985,849/802,962
  6. Step 6: Final answer
    x = 1,927,417.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.