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Finding the Third Proportional to 676,592,808 and 1,076,603,352

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Solution

The third proportional to 676,592,808 and 1,076,603,352 is: 1,713,105,377.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,592,808 : 1,076,603,352 = 1,076,603,352 : x
  2. Step 2: Convert to fraction form
    676,592,808/1,076,603,352 = 1,076,603,352/x
  3. Step 3: Cross multiply
    676,592,808x = 1,076,603,352 × 1,076,603,352
  4. Step 4: Simplify right side
    676,592,808x = 1,159,074,777,537,635,840
  5. Step 5: Solve for x
    x = 1,159,074,777,537,635,840/676,592,808
  6. Step 6: Final answer
    x = 1,713,105,377.17

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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.