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Finding the Third Proportional to 653,047 and 1,008,684

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Solution

The third proportional to 653,047 and 1,008,684 is: 1,557,994.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,047 : 1,008,684 = 1,008,684 : x
  2. Step 2: Convert to fraction form
    653,047/1,008,684 = 1,008,684/x
  3. Step 3: Cross multiply
    653,047x = 1,008,684 × 1,008,684
  4. Step 4: Simplify right side
    653,047x = 1,017,443,411,856
  5. Step 5: Solve for x
    x = 1,017,443,411,856/653,047
  6. Step 6: Final answer
    x = 1,557,994.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.