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Finding the Third Proportional to 590,267,776 and 882,148,376

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Solution

The third proportional to 590,267,776 and 882,148,376 is: 1,318,360,562.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,267,776 : 882,148,376 = 882,148,376 : x
  2. Step 2: Convert to fraction form
    590,267,776/882,148,376 = 882,148,376/x
  3. Step 3: Cross multiply
    590,267,776x = 882,148,376 × 882,148,376
  4. Step 4: Simplify right side
    590,267,776x = 778,185,757,279,437,312
  5. Step 5: Solve for x
    x = 778,185,757,279,437,312/590,267,776
  6. Step 6: Final answer
    x = 1,318,360,562.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.