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Finding the Third Proportional to 1,681,973.86 and 3,584,151.28

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Solution

The third proportional to 1,681,973.86 and 3,584,151.28 is: 7,637,538.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681,973.86 : 3,584,151.28 = 3,584,151.28 : x
  2. Step 2: Convert to fraction form
    1,681,973.86/3,584,151.28 = 3,584,151.28/x
  3. Step 3: Cross multiply
    1,681,973.86x = 3,584,151.28 × 3,584,151.28
  4. Step 4: Simplify right side
    1,681,973.86x = 12,846,140,406,886.02
  5. Step 5: Solve for x
    x = 12,846,140,406,886.02/1,681,973.86
  6. Step 6: Final answer
    x = 7,637,538.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.