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Finding the Third Proportional to 590,267,754 and 882,148,347

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Solution

The third proportional to 590,267,754 and 882,148,347 is: 1,318,360,525.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,267,754 : 882,148,347 = 882,148,347 : x
  2. Step 2: Convert to fraction form
    590,267,754/882,148,347 = 882,148,347/x
  3. Step 3: Cross multiply
    590,267,754x = 882,148,347 × 882,148,347
  4. Step 4: Simplify right side
    590,267,754x = 778,185,706,114,832,384
  5. Step 5: Solve for x
    x = 778,185,706,114,832,384/590,267,754
  6. Step 6: Final answer
    x = 1,318,360,525.10

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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.