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Finding the Third Proportional to 652,590,900 and 1,035,049,698

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Solution

The third proportional to 652,590,900 and 1,035,049,698 is: 1,641,653,105.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,590,900 : 1,035,049,698 = 1,035,049,698 : x
  2. Step 2: Convert to fraction form
    652,590,900/1,035,049,698 = 1,035,049,698/x
  3. Step 3: Cross multiply
    652,590,900x = 1,035,049,698 × 1,035,049,698
  4. Step 4: Simplify right side
    652,590,900x = 1,071,327,877,329,891,200
  5. Step 5: Solve for x
    x = 1,071,327,877,329,891,200/652,590,900
  6. Step 6: Final answer
    x = 1,641,653,105.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.