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Finding the Third Proportional to 668,374,612 and 1,021,772,514

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Solution

The third proportional to 668,374,612 and 1,021,772,514 is: 1,562,026,820.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,374,612 : 1,021,772,514 = 1,021,772,514 : x
  2. Step 2: Convert to fraction form
    668,374,612/1,021,772,514 = 1,021,772,514/x
  3. Step 3: Cross multiply
    668,374,612x = 1,021,772,514 × 1,021,772,514
  4. Step 4: Simplify right side
    668,374,612x = 1,044,019,070,365,880,192
  5. Step 5: Solve for x
    x = 1,044,019,070,365,880,192/668,374,612
  6. Step 6: Final answer
    x = 1,562,026,820.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.