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Finding the Third Proportional to 604,793,952 and 1,319,521,455

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Solution

The third proportional to 604,793,952 and 1,319,521,455 is: 2,878,892,661.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,793,952 : 1,319,521,455 = 1,319,521,455 : x
  2. Step 2: Convert to fraction form
    604,793,952/1,319,521,455 = 1,319,521,455/x
  3. Step 3: Cross multiply
    604,793,952x = 1,319,521,455 × 1,319,521,455
  4. Step 4: Simplify right side
    604,793,952x = 1,741,136,870,205,317,120
  5. Step 5: Solve for x
    x = 1,741,136,870,205,317,120/604,793,952
  6. Step 6: Final answer
    x = 2,878,892,661.62

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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.