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Finding the Third Proportional to 942,030 and 2,042,010

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Solution

The third proportional to 942,030 and 2,042,010 is: 4,426,403.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    942,030 : 2,042,010 = 2,042,010 : x
  2. Step 2: Convert to fraction form
    942,030/2,042,010 = 2,042,010/x
  3. Step 3: Cross multiply
    942,030x = 2,042,010 × 2,042,010
  4. Step 4: Simplify right side
    942,030x = 4,169,804,840,100
  5. Step 5: Solve for x
    x = 4,169,804,840,100/942,030
  6. Step 6: Final answer
    x = 4,426,403.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.