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Finding the Third Proportional to 589,774,000.50 and 915,736,564.69

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Solution

The third proportional to 589,774,000.50 and 915,736,564.69 is: 1,421,855,583.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,774,000.50 : 915,736,564.69 = 915,736,564.69 : x
  2. Step 2: Convert to fraction form
    589,774,000.50/915,736,564.69 = 915,736,564.69/x
  3. Step 3: Cross multiply
    589,774,000.50x = 915,736,564.69 × 915,736,564.69
  4. Step 4: Simplify right side
    589,774,000.50x = 838,573,455,905,663,872
  5. Step 5: Solve for x
    x = 838,573,455,905,663,872/589,774,000.50
  6. Step 6: Final answer
    x = 1,421,855,583.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.