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Finding the Third Proportional to 575,710,024 and 841,973,585

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Solution

The third proportional to 575,710,024 and 841,973,585 is: 1,231,382,967.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,710,024 : 841,973,585 = 841,973,585 : x
  2. Step 2: Convert to fraction form
    575,710,024/841,973,585 = 841,973,585/x
  3. Step 3: Cross multiply
    575,710,024x = 841,973,585 × 841,973,585
  4. Step 4: Simplify right side
    575,710,024x = 708,919,517,837,752,192
  5. Step 5: Solve for x
    x = 708,919,517,837,752,192/575,710,024
  6. Step 6: Final answer
    x = 1,231,382,967.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.