Finding the Third Proportional to 510,820 and 1,074,574
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Solution
The third proportional to 510,820 and 1,074,574 is: 2,260,501.31
Step by Step Solution
- Step 1: Write the proportion equation
510,820 : 1,074,574 = 1,074,574 : x - Step 2: Convert to fraction form
510,820/1,074,574 = 1,074,574/x - Step 3: Cross multiply
510,820x = 1,074,574 × 1,074,574 - Step 4: Simplify right side
510,820x = 1,154,709,281,476 - Step 5: Solve for x
x = 1,154,709,281,476/510,820 - Step 6: Final answer
x = 2,260,501.31
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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.