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Finding the Third Proportional to 556,026 and 1,190,784

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Solution

The third proportional to 556,026 and 1,190,784 is: 2,550,180.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,026 : 1,190,784 = 1,190,784 : x
  2. Step 2: Convert to fraction form
    556,026/1,190,784 = 1,190,784/x
  3. Step 3: Cross multiply
    556,026x = 1,190,784 × 1,190,784
  4. Step 4: Simplify right side
    556,026x = 1,417,966,534,656
  5. Step 5: Solve for x
    x = 1,417,966,534,656/556,026
  6. Step 6: Final answer
    x = 2,550,180.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.