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Finding the Third Proportional to 1,897,484.06 and 2,934,898.31

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Solution

The third proportional to 1,897,484.06 and 2,934,898.31 is: 4,539,499.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897,484.06 : 2,934,898.31 = 2,934,898.31 : x
  2. Step 2: Convert to fraction form
    1,897,484.06/2,934,898.31 = 2,934,898.31/x
  3. Step 3: Cross multiply
    1,897,484.06x = 2,934,898.31 × 2,934,898.31
  4. Step 4: Simplify right side
    1,897,484.06x = 8,613,628,104,715.35
  5. Step 5: Solve for x
    x = 8,613,628,104,715.35/1,897,484.06
  6. Step 6: Final answer
    x = 4,539,499.58

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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.