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Finding the Third Proportional to 916,582.75 and 1,346,807.63

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Solution

The third proportional to 916,582.75 and 1,346,807.63 is: 1,978,971.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,582.75 : 1,346,807.63 = 1,346,807.63 : x
  2. Step 2: Convert to fraction form
    916,582.75/1,346,807.63 = 1,346,807.63/x
  3. Step 3: Cross multiply
    916,582.75x = 1,346,807.63 × 1,346,807.63
  4. Step 4: Simplify right side
    916,582.75x = 1,813,890,778,758.14
  5. Step 5: Solve for x
    x = 1,813,890,778,758.14/916,582.75
  6. Step 6: Final answer
    x = 1,978,971.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.