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Finding the Third Proportional to 404,528 and 882,784

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Solution

The third proportional to 404,528 and 882,784 is: 1,926,461.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,528 : 882,784 = 882,784 : x
  2. Step 2: Convert to fraction form
    404,528/882,784 = 882,784/x
  3. Step 3: Cross multiply
    404,528x = 882,784 × 882,784
  4. Step 4: Simplify right side
    404,528x = 779,307,590,656
  5. Step 5: Solve for x
    x = 779,307,590,656/404,528
  6. Step 6: Final answer
    x = 1,926,461.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.