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Finding the Third Proportional to 610,081,460 and 859,129,133

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Solution

The third proportional to 610,081,460 and 859,129,133 is: 1,209,843,136.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,081,460 : 859,129,133 = 859,129,133 : x
  2. Step 2: Convert to fraction form
    610,081,460/859,129,133 = 859,129,133/x
  3. Step 3: Cross multiply
    610,081,460x = 859,129,133 × 859,129,133
  4. Step 4: Simplify right side
    610,081,460x = 738,102,867,169,331,712
  5. Step 5: Solve for x
    x = 738,102,867,169,331,712/610,081,460
  6. Step 6: Final answer
    x = 1,209,843,136.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.