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Finding the Third Proportional to 947,566.50 and 1,547,127

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Solution

The third proportional to 947,566.50 and 1,547,127 is: 2,526,051.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,566.50 : 1,547,127 = 1,547,127 : x
  2. Step 2: Convert to fraction form
    947,566.50/1,547,127 = 1,547,127/x
  3. Step 3: Cross multiply
    947,566.50x = 1,547,127 × 1,547,127
  4. Step 4: Simplify right side
    947,566.50x = 2,393,601,954,129
  5. Step 5: Solve for x
    x = 2,393,601,954,129/947,566.50
  6. Step 6: Final answer
    x = 2,526,051.69

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.