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Finding the Third Proportional to 578,506,842 and 881,295,402

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Solution

The third proportional to 578,506,842 and 881,295,402 is: 1,342,562,488.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,506,842 : 881,295,402 = 881,295,402 : x
  2. Step 2: Convert to fraction form
    578,506,842/881,295,402 = 881,295,402/x
  3. Step 3: Cross multiply
    578,506,842x = 881,295,402 × 881,295,402
  4. Step 4: Simplify right side
    578,506,842x = 776,681,585,586,341,632
  5. Step 5: Solve for x
    x = 776,681,585,586,341,632/578,506,842
  6. Step 6: Final answer
    x = 1,342,562,488.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.