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Finding the Third Proportional to 1,927,865.81 and 4,157,006.06

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Solution

The third proportional to 1,927,865.81 and 4,157,006.06 is: 8,963,642.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927,865.81 : 4,157,006.06 = 4,157,006.06 : x
  2. Step 2: Convert to fraction form
    1,927,865.81/4,157,006.06 = 4,157,006.06/x
  3. Step 3: Cross multiply
    1,927,865.81x = 4,157,006.06 × 4,157,006.06
  4. Step 4: Simplify right side
    1,927,865.81x = 17,280,699,403,661.75
  5. Step 5: Solve for x
    x = 17,280,699,403,661.75/1,927,865.81
  6. Step 6: Final answer
    x = 8,963,642.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.