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Finding the Third Proportional to 676,467 and 1,070,358

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Solution

The third proportional to 676,467 and 1,070,358 is: 1,693,602.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,467 : 1,070,358 = 1,070,358 : x
  2. Step 2: Convert to fraction form
    676,467/1,070,358 = 1,070,358/x
  3. Step 3: Cross multiply
    676,467x = 1,070,358 × 1,070,358
  4. Step 4: Simplify right side
    676,467x = 1,145,666,248,164
  5. Step 5: Solve for x
    x = 1,145,666,248,164/676,467
  6. Step 6: Final answer
    x = 1,693,602.57

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.