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Finding the Third Proportional to 578,606,748 and 873,290,838

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Solution

The third proportional to 578,606,748 and 873,290,838 is: 1,318,057,368.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,606,748 : 873,290,838 = 873,290,838 : x
  2. Step 2: Convert to fraction form
    578,606,748/873,290,838 = 873,290,838/x
  3. Step 3: Cross multiply
    578,606,748x = 873,290,838 × 873,290,838
  4. Step 4: Simplify right side
    578,606,748x = 762,636,887,734,742,272
  5. Step 5: Solve for x
    x = 762,636,887,734,742,272/578,606,748
  6. Step 6: Final answer
    x = 1,318,057,368.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.