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Finding the Third Proportional to 884,545 and 1,210,428

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Solution

The third proportional to 884,545 and 1,210,428 is: 1,656,372.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,545 : 1,210,428 = 1,210,428 : x
  2. Step 2: Convert to fraction form
    884,545/1,210,428 = 1,210,428/x
  3. Step 3: Cross multiply
    884,545x = 1,210,428 × 1,210,428
  4. Step 4: Simplify right side
    884,545x = 1,465,135,943,184
  5. Step 5: Solve for x
    x = 1,465,135,943,184/884,545
  6. Step 6: Final answer
    x = 1,656,372.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.