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Finding the Third Proportional to 292,546,692 and 609,307,300

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Solution

The third proportional to 292,546,692 and 609,307,300 is: 1,269,046,603.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,546,692 : 609,307,300 = 609,307,300 : x
  2. Step 2: Convert to fraction form
    292,546,692/609,307,300 = 609,307,300/x
  3. Step 3: Cross multiply
    292,546,692x = 609,307,300 × 609,307,300
  4. Step 4: Simplify right side
    292,546,692x = 371,255,385,833,289,984
  5. Step 5: Solve for x
    x = 371,255,385,833,289,984/292,546,692
  6. Step 6: Final answer
    x = 1,269,046,603.45

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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.