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Finding the Third Proportional to 1,114,078.50 and 1,681,776

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Solution

The third proportional to 1,114,078.50 and 1,681,776 is: 2,538,753.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114,078.50 : 1,681,776 = 1,681,776 : x
  2. Step 2: Convert to fraction form
    1,114,078.50/1,681,776 = 1,681,776/x
  3. Step 3: Cross multiply
    1,114,078.50x = 1,681,776 × 1,681,776
  4. Step 4: Simplify right side
    1,114,078.50x = 2,828,370,514,176
  5. Step 5: Solve for x
    x = 2,828,370,514,176/1,114,078.50
  6. Step 6: Final answer
    x = 2,538,753.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.