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Finding the Third Proportional to 1,537,785 and 3,592,957.50

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Solution

The third proportional to 1,537,785 and 3,592,957.50 is: 8,394,764.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537,785 : 3,592,957.50 = 3,592,957.50 : x
  2. Step 2: Convert to fraction form
    1,537,785/3,592,957.50 = 3,592,957.50/x
  3. Step 3: Cross multiply
    1,537,785x = 3,592,957.50 × 3,592,957.50
  4. Step 4: Simplify right side
    1,537,785x = 12,909,343,596,806.25
  5. Step 5: Solve for x
    x = 12,909,343,596,806.25/1,537,785
  6. Step 6: Final answer
    x = 8,394,764.94

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.