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Finding the Third Proportional to 292,546,724 and 609,307,368

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Solution

The third proportional to 292,546,724 and 609,307,368 is: 1,269,046,747.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,546,724 : 609,307,368 = 609,307,368 : x
  2. Step 2: Convert to fraction form
    292,546,724/609,307,368 = 609,307,368/x
  3. Step 3: Cross multiply
    292,546,724x = 609,307,368 × 609,307,368
  4. Step 4: Simplify right side
    292,546,724x = 371,255,468,699,087,424
  5. Step 5: Solve for x
    x = 371,255,468,699,087,424/292,546,724
  6. Step 6: Final answer
    x = 1,269,046,747.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.