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Finding the Third Proportional to 1,537,573.50 and 2,386,944

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Solution

The third proportional to 1,537,573.50 and 2,386,944 is: 3,705,514.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537,573.50 : 2,386,944 = 2,386,944 : x
  2. Step 2: Convert to fraction form
    1,537,573.50/2,386,944 = 2,386,944/x
  3. Step 3: Cross multiply
    1,537,573.50x = 2,386,944 × 2,386,944
  4. Step 4: Simplify right side
    1,537,573.50x = 5,697,501,659,136
  5. Step 5: Solve for x
    x = 5,697,501,659,136/1,537,573.50
  6. Step 6: Final answer
    x = 3,705,514.99

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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.