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Finding the Third Proportional to 2,917,784 and 4,688,044

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Solution

The third proportional to 2,917,784 and 4,688,044 is: 7,532,345.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917,784 : 4,688,044 = 4,688,044 : x
  2. Step 2: Convert to fraction form
    2,917,784/4,688,044 = 4,688,044/x
  3. Step 3: Cross multiply
    2,917,784x = 4,688,044 × 4,688,044
  4. Step 4: Simplify right side
    2,917,784x = 21,977,756,545,936
  5. Step 5: Solve for x
    x = 21,977,756,545,936/2,917,784
  6. Step 6: Final answer
    x = 7,532,345.28

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.