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Finding the Third Proportional to 676,592,810 and 1,076,603,355

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Solution

The third proportional to 676,592,810 and 1,076,603,355 is: 1,713,105,381.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,592,810 : 1,076,603,355 = 1,076,603,355 : x
  2. Step 2: Convert to fraction form
    676,592,810/1,076,603,355 = 1,076,603,355/x
  3. Step 3: Cross multiply
    676,592,810x = 1,076,603,355 × 1,076,603,355
  4. Step 4: Simplify right side
    676,592,810x = 1,159,074,783,997,255,936
  5. Step 5: Solve for x
    x = 1,159,074,783,997,255,936/676,592,810
  6. Step 6: Final answer
    x = 1,713,105,381.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.