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Finding the Third Proportional to 602,218,125 and 920,636,123.06

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Solution

The third proportional to 602,218,125 and 920,636,123.06 is: 1,407,415,080.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,218,125 : 920,636,123.06 = 920,636,123.06 : x
  2. Step 2: Convert to fraction form
    602,218,125/920,636,123.06 = 920,636,123.06/x
  3. Step 3: Cross multiply
    602,218,125x = 920,636,123.06 × 920,636,123.06
  4. Step 4: Simplify right side
    602,218,125x = 847,570,871,087,550,592
  5. Step 5: Solve for x
    x = 847,570,871,087,550,592/602,218,125
  6. Step 6: Final answer
    x = 1,407,415,080.85

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.