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Finding the Third Proportional to 1,237,798.13 and 1,893,477.94

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Solution

The third proportional to 1,237,798.13 and 1,893,477.94 is: 2,896,480.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237,798.13 : 1,893,477.94 = 1,893,477.94 : x
  2. Step 2: Convert to fraction form
    1,237,798.13/1,893,477.94 = 1,893,477.94/x
  3. Step 3: Cross multiply
    1,237,798.13x = 1,893,477.94 × 1,893,477.94
  4. Step 4: Simplify right side
    1,237,798.13x = 3,585,258,699,799.25
  5. Step 5: Solve for x
    x = 3,585,258,699,799.25/1,237,798.13
  6. Step 6: Final answer
    x = 2,896,480.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.