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Finding the Third Proportional to 464,044 and 988,784

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Solution

The third proportional to 464,044 and 988,784 is: 2,106,898.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,044 : 988,784 = 988,784 : x
  2. Step 2: Convert to fraction form
    464,044/988,784 = 988,784/x
  3. Step 3: Cross multiply
    464,044x = 988,784 × 988,784
  4. Step 4: Simplify right side
    464,044x = 977,693,798,656
  5. Step 5: Solve for x
    x = 977,693,798,656/464,044
  6. Step 6: Final answer
    x = 2,106,898.91

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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.